For the following marginal revenue function MR (Q) = 790 - 0.01 Q Assuming that the marginal cost function is: MC (Q) = 298 + 0.05 Q Calculate the profit maximizing quantity, Q*

For the cost and price functions below, find a) the number, q, of units that produces maximum profit; b) the price, p, per unit that produces maximum profit; and c) the maximum profit, P. C(q) = 70+ 14q; p = 70-2q a) The number, q, of units that produces maximum profit is q = b) The price, p, per unit that produces maximum profit is p = $ c) The maximum profit is P = $

The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function. R'(x) = 4x (x²+25,000) (a) Find the total revenue function if the revenue from 120 devices is $34,166. (b) How many devices must be sold for a revenue of at least $50,000? (a) The total revenue function is R(x), given that the revenue from 120 devices is $34,166. (Round to the nearest integer as needed.) (b) devices must be sold to generate a revenue of at least $50,000 (Type a whole number.)

p=D(x)=71.5−0.02xp=D(x)=71.5−0.02x dollars. The total cost for these coffee makers is given by C(x)=0.05x2+5.5x+6200C(x)=0.05x2+5.5x+6200 dollars. Determine the marginal profit for 118 coffee makers.

Consider the following total revenue function for a hammer. R 44x 0.01x2 (a) The sale of how many hammers, x, will maximize the total revenue in dollars? x = 2200 hammers Find the maximum revenue. $48400 (b) Find the maximum revenue if production is limited to at most 1200 hammers. $ If the total revenue function for a computer is R(x) = 1000x - 35x2-x³, find the level of sales, x, that maximizes revenue and find the maximum revenue in dollars. x = R(x) = $ computers If the total cost function for producing x lamps is C(x) = 3240 + 37x+ 0.9x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $ If the total cost function for a product is C(x) = 10+ 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? x= units Find the minimum average cost per unit. $ Find the derivative of the function. f(x) = ex-xe

Find the average cost function if cost and revenue are given by C(x) = 170 + 3.6x and R(x) = 5x - 0.01x. The average cost function is C(x) =.

If the marginal revenue in dollars per unit for a month is given by MR= −0.04x + 36, find the total revenue function provided that R(0)= 25

A farm produces rice, which is sold in 50 kilogram bags. Let Q denote the number of bagsproduced per week during harvest time. Costs C are denoted in units of dollars. The totalweekly cost function for producing the product is C = 4Q + 100. The total weekly income function for this product is I = 50Q – 2Q2. What is the profit function P as a function of Q and sketch it using P values 0, 5, 10,15, 20 and 25.