DERIVATIVES FUNCTIONS

DERIVATIVES FUNCTIONS 
EXERCISE 33 

Q#25.A plastic firm determined that the cost function for producing a batch of a particular type of unit is given by

c(x) + x(square) - 14x + 100

where c(x) is the cost in rupees and x s hundreds of units per batch. Determine the batch size which will yield a minimum cost.

Q#33.The total cost of manufacturing x units of a certain types of radio equipment for aircraft is given by the function

c(x)=50,000 + 2000x - 15x(square) + x(square)

Determine
(a) the marginal cost function.
(b) the marginal cost of the tenth unit.
(c) the total cost of manufacturing 10 units.
(d) the minimum marginal cost.
(c) the total cost for producing the number of units which minimizes marginal cost. 

(BOOK: MATHEMATICS FOR BUSINESS & FINANCE
BY HAMID A.HAKEEM)