Problema Solution
The manager of a restaurant found that the cost to produce 100 omelets is 86.69, while the cost to produce 900 omelets is $657.09. Assume the cost C(x) is a linear function of x, the number of omelets produced. Find the cost function and use it to evaluate the cost of producing 1700 and 1701 omelets. Then find the marginal cost of the 1701st omelet and any omelet.
Answer provided by our tutors
SLOPE = (657.09 - 86.69)/(900 - 100)
= .713
C(x) = .713x + CONS.
86.69 = .713*100 + CONS.
CONS = 15.39
C(x) = .713x + 15.39
PUT THE VALUE OF X =1700 AND 1701 WE WILL GET COSTS
C(1701) - C(1700) = COST OF MAKING 1700th OMELET