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.

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.

Quizlet Admin · Accepted Answer

We 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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Related questions

Number of units	Cost
$\qquad 100$	$4360$
$\qquad 250$	$7060$