Question

Question 5 3 pts Solve the problem. A bakery makes and sells pastries. The fixed monthly cost to the bakery is $720. The cost for labor, taxes, and ingredients for the pastries amounts to S0.70 per pastry. The pastries sell for $1.60 each. Write a linear profit function representing the profit for producing and selling x pastries. O P(x) = 2.3x - 720 OP(x) = -0.9x + 720 O P(x) = 2.3x + 720 OP(x) - 0.9x + 720 OP(x) = 0.9x - 720 Demir Ney

Answer 1

The total cost of making pastries is 720 dollars of fixed cost, and 0.7 dollars of cost per pastry. Therefore, the the cost of making 'x' pastries will be represented by the C(x) function as follows

$C(x)=720+(0.7*x)$

We obtain 1.6 dollars revenue for every pastry sold, and the revenue function for 'x' pastries sold is as follows

$R(x)=1.6*x$

The profit function P(x) is the difference between the revenue and the cost function, or

$P(x)=R(x)-C(x)$

$P(x)=[1.6*x]-[720+(0.7*x)]$

$P(x)=1.6x-720-0.7x$

$P(x)=0.9x-720$ will be the profit function