Television Markets By Size
Posted in Coloured Television on 12/05/2009 04:20 am by admin
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!? calculation
A manufacturer of televisions sold in 1000 one week starting at $ 500 each. The market investigation indicates that for every $ 10 discount offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar. (A) Find the demand function (price based on units sold). P (x) = -1/10x 600 (b) What is the size of reimbursement must offer the buyer to maximize your income? $ 200 (C) If the company has a cost of C (x) = 140x + 66 000, how the manufacturer defines size of the club to maximize its profit?
The discounts are $ 10 units. Let r be the number of these units. So depending on the price is 500-10 (r) demand function is 1000 100 (r) x = price of the demand for income. While income = 500 000 40 000 1000 Rr ^ 2. d (recipes) / Dr = 40000-2000 (r). Adjustment to zero to find maximum (or minimum)> = r = 20 or a $ 200 discount. We maximumize (revenue-costs). However, here, x is in units per game. We can say in terms of R. We know that 100 additional TV channels are sold by units discounts. Thus, C (r) 66 000 14 000 r = In terms of R, we have recipes (R) – cost (r) = profit (r). Again, assess the benefits (r), take the derivitive, zero and find r to determine the maximum benefit.
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