Question

part 1 of 5
(a) write a linear cost function representing the cost ( c(x) ) to produce ( x ) dozen cookies per month.
the linear cost function is ( c(x) = 720 + 2.76x ).

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) = square ).

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost, so $P(x) = R(x) - C(x)$

Step2: Substitute given functions

$P(x) = 7x - (720 + 2.76x)$

Step3: Simplify the expression

$P(x) = 7x - 720 - 2.76x = 4.24x - 720$

Answer:

$4.24x - 720$