A retail appliance store sells 4,000 television sets each year. It costs $10 to store one television set for a year. To reorder, there is a fixed processing cost of $25, plus a $9 shipping fee for each television set. (a) The cost function, in dollars, expressed as a function of x , the number of television sets the store reorders each time ( x is also the lot size the store must maintain), is C(x) = 5x + 100000 + 34,000 X , where x is defined between 1 and 4000 X (b) To minimize its cost, the lot size the store maintains should be 141 x television sets, and the store should place 24 x orders each year. (Your answers should be integers. )