Question

7) P=17.59x-2655 is the profit formula for x boxes of frozen pizza dough. (By the way, what is profit?)

Answer 1

Answer:

Part A)

For 10 boxes $P=-\ 2,479.10$

For 40 boxes  $P=-\ 1,951.40$

For 25 boxes  $P=-\ 2,215.25$

Part B) The number of boxes must be greater than or equal to 191 for a profit of at least $700

Part C) 151 boxes are needed to break even

Step-by-step explanation:

we know that

Profit, is equals to revenue minus costs of goods sold

we have

$P=17.59x-2,655$

Part A) Find the profit for

1) 10 boxes

For x=10 boxes

substitute in the formula

$P=17.59(10)-2,655$

$P=-\ 2,479.10$

The negative means that the revenue is less than the costs

2) 40 boxes

For x=40 boxes

substitute in the formula

$P=17.59(40)-2,655$

$P=-\ 1,951.40$

The negative means that the revenue is less than the costs

3) 40 boxes

For x=25 boxes

substitute in the formula

$P=17.59(25)-2,655$

$P=-\ 2,215.25$

The negative means that the revenue is less than the costs

Part B) How many boxes needed for  a profit of at least $700?

For P=$700

substitute in the formula and solve for x

$700=17.59x-2,655$

$17.59x=2,655+700$

$17.59x=3,355$

$x=190.7\ boxes$

Round up

$x=191\ boxes$

therefore

The number of boxes must be greater than or equal to 191 for a profit of at least $700

Part C) How many boxes needed to “break even”?

we know that

Break even is when the profit is equal to zero

For P=0

$0=17.59x-2,655$

$17.59x=2,655$

$x=150.9$

Round up

151 boxes are needed to break even