x Exercses Linear Applica xLumen OHM Assessment x MSign in McGraw-Hili\'ls Cox /
ID: 3135771 • Letter: X
Question
x Exercses Linear Applica xLumen OHM Assessment x MSign in McGraw-Hili'ls Cox /ohm.lumenlearning.com/assessment/showtest.php?action-skip&to-11; Imagine that you purchase 100 chocolate covered bananas for 18 dollars. You plan to sell the chocolate covered bananas at the fair for $1.45 each. Give the profit function P(z) for selling z chocolate covered bananas. Note your profit is determined by the total amount of money you earn minus any costs. P(r) Preview 1. Calculate P(72): P(72) 2. Write your answer as an Ordered Pair 3, Complete the following sentence to explain the meaning of #1 a nd #2: if you sell chocolate covered bananas, your profit will be dollars 1. Find z when P(a) 92.2: 2. Write your answer as an ordered pair: 3. Complete the following sentence to explain the meaning of "1 and #2: If your profit was dollars, then you sold chocolate covered bananas What is the minimum number of chocolate covered bananas you need to sell in order to not lose money? Note that this is called the break even point. Hint: You can only sell a whole number of items. You must sell chocolate covered bananasExplanation / Answer
If x represents the number of units sold, we will name these two functions as follows: R(x) = the revenue function; C(x) = the cost function.
Therefore, our profit function equation will be as follows:
P(x) = R(x) - C(x).
Revenue function will be ( to sell 'x' number of chocolate covered bananas at $1.45 each)
R(x) = 1.45*x
Cost incurred in buying a single chocolate covered banana will be = 18/100 = 0.18 $
So cost function will be ( to buy 'x' number of chocolate covered bananas)
C(x) = 0.18 * x
= 18 * x
P(x) = 1.45 * x - 0.18 *x
= 1.27 * x
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1)
Calculate P(72)
=> P(72) = 1.27 * 72
= 91.44 $
2)
Ordered Pair
(72 , 91.44 )
3)
If you sell 72 chocolate covered bananas, your profit will be 91.44 dollars
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1)
Find x when P(x) = 92.2
=> 1.27 * x = 92.2
=> x = 92.2 / 1.27
= 72.598
2)
Ordered pair
(72.598 , 92.2 )
3)
If your profit was 92.2 dollars, then you sold 72.6 chocolate covered bananas.
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