Answered

Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, 4 5 of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls

Sagot :

Isyllusidn

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

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.