Question

A company distributes college logo sweatshirts and sells them for $\$ 50$ each. The total cost function is linear, and the total cost for $100$ sweatshirts is $\$ 4360$, whereas the total cost for $250$ sweatshirts is $\$ 7060$.

(a) Write the equation for the revenue function.

(b) Write the equation for the total cost function.

( c ) Find the break-even quantity.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4We have,

Revenue per unit $= \$~50$

We are also given that the cost of $100$ units is $\$~4360$ and the cost of $250$ units is $\$~7060$.

Putting this information in a table:

Number of units | Cost |
---|---|

$\qquad 100$ | $4360$ |

$\qquad 250$ | $7060$ |

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