Answer:
$108
Step-by-step explanation:
Let number of rolls produced = [tex]x[/tex]
Total production cost = $300
Average production cost can be found by dividing the total production cost with the number of rolls produced.
Average production cost per roll = $[tex]\frac{300}{x}[/tex]
[tex]\frac{4}{5}[/tex] of the rolls were sold at a price 50% higher than the average production cost per roll.
i.e.
Money earned by selling [tex]\frac{4}{5}[/tex] of the rolls:
[tex]\dfrac{4}{5}x \times \dfrac{300}{x}\times \dfrac{150}{100}\\\Rightarrow \$360[/tex]
Money earned by selling the remaining the remaining rolls:
[tex]\dfrac{1}{5}x\times \dfrac{300}{x}\times \dfrac{80}{100}\\\Rightarrow \$48[/tex]
Total money earned by selling all the rolls = $360 + $48 = $408
Total profit can be calculated by subtracting the total production cost from the total money earned.
Total profit = $408 - $300 = $108
