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.

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:

[tex]3x+400=550[/tex]

Let us find cost of each phone.

[tex]3x=550-400[/tex]

[tex]3x=150[/tex]

[tex]x=\frac{150}{3}[/tex]

[tex]x=50[/tex]

Since cost of each phone is $50, so cost of p phones would be [tex]50p[/tex].

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

[tex]C(p)=50p+400[/tex]

Therefore, our required cost function would be [tex]C(p)=50p+400[/tex].

aidenbreeding aidenbreeding · Answer 2 · 2020-12-17T22:56:12+01:00

Answer:

Oranges

Step-by-step explanation:

Ryan is in the business of manufacturing phones. He 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 equation C=300+50pC=300+50p can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?