Question

5.5 applications of linear equations and modeling
question 10 of 13 (4 points) | question attempt: 1 of unlimited
(c) write a linear profit function representing the profit for producing and selling ( x ) dozen cookies in a month.
the linear profit function is ( p(x) = 4.24x - 720 ).

part 4 of 5
(d) determine the number of cookies (in dozens) that must be produced and sold for a monthly profit. round up your answer to the nearest
the business will make a profit if it produces and sells 170 dozen or more cookies.

part 5 of 5
(e) if 130 dozen cookies are sold in a given month, how much money will the business make or lose? write your answer to the nearest cent.
if 130 dozen cookies are sold in a given month, the business will select $

Explanation:

Step1: Substitute $x=130$ into $P(x)$

$P(130) = 4.24\times130 - 720$

Step2: Calculate the product term

$4.24\times130 = 551.2$

Step3: Compute final profit value

$P(130) = 551.2 - 720 = -168.8$

Answer:

lose; $\$168.80$