Victoria is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $50 for each phone manufactured, and the total cost of producing 3 phones in a day would be $450. Write an equation for the function C (p), representing total cost, in dollars, of producing p phones in a given day.

Question

Mathematics

Gustavo Hodges

26 May, 17:14

Victoria is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $50 for each phone manufactured, and the total cost of producing 3 phones in a day would be $450. Write an equation for the function C (p), representing total cost, in dollars, of producing p phones in a given day.

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Answers (1)

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Camron Hess · Answer 1

C (p) = p*50 + 300

Step-by-step explanation:

Using the names:

Clm: cost of labor and materials

Crm: fixed cost on rent and equipment

p: number of phones

and Ct: total cost

the ecuation would be number of phones times the cost and material plus the fixed cost, something like this

p * Clm + Crm = Ct

on the example we have all the data except the rent and equipment cost (the fixed cost) so thats what we need to solve

producing 3 phones its

3 * ¨50 + Crm = 450

Crm = 450 - 150 = 300

so replacing in the above formula the equation would be

C (p) = p * 50 + 300