On a certain day, a bakery produced a batch of rolls at a total produc

Method I: assign a value to the total number of rolls

Because all the rolls are sold, and because they are all sold at equal prices on their respective days, we can use any number of rolls we want to calculate
Profit as (Total Revenue - Total Cost).

The profit is the same for 300 rolls that cost $300 as it is for 30 rolls that cost $300.

Let # of rolls = 30
Cost per roll = $10

Day 1: \(\frac{4}{5}\) of 30, or 24 rolls, are sold at 50 percent above cost -->
Day 1, PRICE: 50% above cost is (1.5 * $10) = $15 each

Day 1, Total Revenue: (24 * $15) = $360

Day 2: remaining 6 rolls are sold at 80 percent of Day 1's price (of $15) -->
Day 2's price is (.8 * $15)= $12 each

Day 2, Total Revenue: (6 * $12) = $72

Total Revenue for both days: ($360 + $72) = $432

(TR - TC) = PROFIT
PROFIT = ($432 - $300) = $132

Answer C

Method II - Algebra

\(xy = 300\) = Total cost, where \(x\) is unit cost of rolls and \(y\) is # of rolls

Day 1 = \(\frac{4}{5}y * \frac{3}{2}x = \frac{6}{5}xy\)

Day 2 = \(\frac{1}{5}y * (\frac{4}{5}*\frac{3}{2})x\)

\(= (\frac{1}{5}y*\frac{12}{10}x)=\frac{12}{50}xy=\frac{6}{25}xy\)

Day 1 + Day 2: \((\frac{6}{5}xy + \frac{6}{25}xy)= \frac{36}{25}xy\)

\(xy = 300\), so
Total revenue = \((\frac{36}{25})($300) = $432\)

Total cost = \($300\)
Profit = (TR - TC)
Profit = \($132\)

Answer C