Allison 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 daily fixed costs are $400 and and the total cost of producing 3 phones in a day would be $550. Write an equation for the function C ( p ) , C(p), representing total cost, in dollars, of producing p p phones in a given day.

Step-by-step explanation:

Let p represent number of phones produced in one day.

We have been given that Allison 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 daily fixed costs are $400 and and the total cost of producing 3 phones in a day would be $550.

Let x represent cost of each phone.

We can represent this information in an equation by equating total cost of 3 phones with 550 as:

Let us find cost of each phone.

Since cost of each phone is $50, so cost of p phones would be .

The total cost would be equal to cost of p phones plus fixed cost.

Therefore, our required cost function would be .

step-by-step explanation:

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