Step 1
Given;
Step 2
A)
[tex]\begin{gathered} Revenue=\text{ Number of units sold }\times\text{ cost per unit} \\ Let\text{ each quant}\imaginaryI\text{ty of good sold be x} \\ cost\text{ per unit= \$72} \\ TR=72\times x=72x \\ \end{gathered}[/tex][tex]\begin{gathered} B)\text{ }total\text{ cost=f}\imaginaryI\text{xed cost + var}\imaginaryI\text{able cost} \\ TC=29697+15x \end{gathered}[/tex]
C)At breakeven, TR = TC
[tex]\begin{gathered} 72n=29697+15x \\ 72x-15x=29697 \\ 57x=29697 \\ x=\frac{29697}{57}=521 \end{gathered}[/tex]
the number of units needed to breakeven is 521
D) To calculate the TR, we substitute 521 for n in the given function for TR as seen below:
[tex]\begin{gathered} TR=72x \\ TR=72(521)=\text{ \$}37512 \end{gathered}[/tex]
TR = $37512
Answers;
[tex]\begin{gathered} A)\text{ 72x} \\ B)\text{ 29697 +15x} \\ C)\text{ 521 units} \\ D)\text{ \$37512} \end{gathered}[/tex]
