A manufacturer of 24hr variable timers has a monthly fixed cost of 56000 and a production costs of 9 dollars for each timer manufactured the unit sell for 16 dollars each find the Break even point algebraically

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zurilomk4 · Accepted Answer

Step 1   Calculation:   Cost function C(x)=56000+9x.   Revenue function R(x)=16x.   The unit sell for 16 dollars.   Obtain the profit function as follows.  Profit function P(x)=R(x)−C(x)  =16x−(56000+9x)  =16x−56000−9x  =7x−56000  Step 2   Solving the break even point to equate the profit function as zero.  7x−56000=0  7x=56000  x=560007  x=8000  Thus, the break even point is (8000,0)  Step 3   Answer:   The break even point is (8000, 0).

Karen Robbins · Accepted Answer

If the units sell for $16, and cost $9 to produce; then the profit on each unit is $7. Let n be the number of units needed to break even. Then:   7n=56000   n=8000 or (16−9)n−56000=0   So, the break-even point is 8000 units; and the break-even revenue is $12800

karton · Accepted Answer

The break even point occurs when the income from sales equals the cost to make the product Let x = number of timers cost = 5000 + 8x Income = 13x set them equal to find the break even point 5000+8x = 13x 5000 = 5x x = 1000(so 1000 timers must be sold each month to break even Profit =Income−cost Profit = 0 at the break even point So that is the point where it crosses the x axis (1000, 0)

A manufacturer of 24hr variable timers has a monthly fixed

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