# Linear Equations

The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x).

The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x). The profit is the difference between the revenue (sales) and the cost, if x units are produced and sold, we can
write the following:
P(x) = R(x) – C(x)
Where: P(x) = profit from sale of x units. R(x) = revenue from sale of x units
C(x) = cost of production and sale of x units
Revenue = (price per unit)(number of units)= p.q
The cost is composed of two parts, fixed costs and variable costs:
• Fixed costs such as rent, utilities… remain constant regardless of the number of units produced.
• Variable costs are those directly related to the number of units produced.
In general: Cost = Variable costs + fixed costs
• Break-Even Point: the point where revenue equals cost R(x) = C(x).