Problema Solution

The cost of producing cell phones is represented as C=mx+b, where m is the marginal cost, x is the number of phones produced, b is the fixed cost, and C is the final cost.

a. If the fixed cost is $75 and the marginal cost is $8, write the cost equation.

b. In March, the total cost was $18,955. Calculate the number of phones produced using the equation.

c. If the goal for March was to produce at least 2000 phones, did the company meet this goal? Show mathematically the number of phones exceeded or missed the goal?

Answer provided by our tutors

C=mx+b, where


m is the marginal cost,


x is the number of phones produced,


b is the fixed cost, and


C is the final cost



a. If the fixed cost is $75 and the marginal cost is $8, write the cost equation


b = $75


m = $8


C = 8x + 75



b. In March, the total cost was $18,955. Calculate the number of phones produced using the equation.


C = $18.955 and C = 8x + 75 thus we have


8x + 75 = 18,955


by solving we find:


x = 2360 phones


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c. If the goal for March was to produce at least 2000 phones, did the company meet this goal? Show mathematically the number of phones exceeded or missed the goal?


there were 2360 phones produced in march


since 2360 > 2000 the company met the goal exceeding the production by 2360 - 2000 = 360 phones.