Question

part 2 of 5
(b) write a linear revenue function representing the revenue ( r(x) ) for selling ( x ) dozen cookies.
the linear revenue function is ( r(x) = 7x ).

part 3 of 5
(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 ans
the business will make a profit if it produces and sells dozen or more cookies.

Explanation:

Step1: Set profit > 0

$P(x) > 0$

Step2: Substitute profit function

$4.24x - 720 > 0$

Step3: Isolate x term

$4.24x > 720$

Step4: Solve for x

$x > \frac{720}{4.24} \approx 169.81$

Step5: Round up to integer

$x = 170$

Answer:

170