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Nora 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 $150 for each phone manufactured, and the total cost of producing 8 phones in a day would be $2200. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

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Answer:

C=150p+1000

Step-by-step explanation:

Solve for the y-intercept:

C=50p+b Slope intercept form of a line

2200=150(8)+b

Plug in known point

2200=1200+b Multiply

1000=b

Subtract 12001200

The equation is C = 1000 + 150p

The total cost of producing a phone is the sum of the fixed cost and the variable cost

Total cost = fixed cost + variable cost

Fixed cost is the cost of producing phone that remains constant regardless the quantity of phones produced. e.g. rent

Variable cost is the  cost of producing phone that increases with the quantity of phones produced. e.g. labour cost

In order to write the equation, the fixed cost has to be determined.

Fixed cost = total cost - variable cost

Variable cost = $150 x 8 = $1200

2200 - 1200 = 1000

The equation is : C = 1000 + 150p

A similar question was solved here: https://brainly.com/question/18844532?referrer=searchResults

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