SOLUTION: A company incurs two types of cost. Fixed annual cost of $250,000 is incurred regardless of the number of products manufactured. In addition, each chair produces variable cost of

Question 1181197: A company incurs two types of cost. Fixed annual cost of $250,000 is incurred regardless of the
number of products manufactured. In addition, each chair produces variable cost of $7.5. If C equals
to the total cost and x is equals to the number of chairs polished during a year:
a) Determine the function C = f(x) which express the annual cost
b) What is f (36,500)? What does it represent?
c) State the restricted domain and restricted range of the function if the maximum production
capacity is 82000 products per year.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
C=$7.5x+$250000
f(36500)=$273750+$250000=$523250. This represents the total costs of producing 36,500 chairs a year.
-
for f(82,000), the cost is $865000
The restricted domain is [0, 82000]
The restricted range is [$250000, $865000]

RELATED QUESTIONS
A fabrication company engaged in production with a capacity of 150, 000 pieces per year.... (answered by ankor@dixie-net.com)

The fixed costs of operating a business are the costs incurred regardless of the level of (answered by ikleyn,mananth)

A publisher has a fixed cost of $250,000 associated with the production of a college... (answered by ikleyn)

The Paduka Shoe Company sells five different styles of ladies chappals with identical... (answered by ikleyn)

The Acme Company produces a product for which the variable cost per unit is $6 and the... (answered by ewatrrr)

) The Company ABC produces a product for which the variable cost per unit is €6 and the (answered by mananth)

A company that manufactures push scooters has a fixed cost of $10,000 costs $42 produce... (answered by ikleyn)

The total cost, C, of producing q units is a linear function. Records show that on one... (answered by josgarithmetic)