(1 point) The price-demand and cost functions for the production of microwaves are given as P=240-...
please show ALL STEPS and box answers, will thumbs up, Thanks! The price-demand and cost functions for the production of microwaves are given as 2 p=220 - 50 and C(2) = 16000 + 802, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing a units. (A) Find the marginal cost as a function of x. C'(x) = 80 (B) Find...
A company decides to begin making and selling computers. The price function is given as follows: p=−35x+2300, where xx is the number of computers that can be sold at a price of pp dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 3000 dollars with an additional cost of 150 dollars per unit. (A) Find the revenue function in terms of x. R(x)= equation editor Equation Editor (B) Use the financial...
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total cost of making x units is given by C )-0.00001 x3-0,033 x2+48x+5,000 a) Find the revenue function R(x). b) Find the profit function P(x). c) How many units must be made and sold to maximize profit? Verify that you have found the maximum using d) e) f) the first derivative test. What is the maximum profit? What are the marginal cost, marginal revenue and...
14) The demand equation for a monopolist's product is p = 200 - 0.989, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c= 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. 15) The demand function for a monopolist's product is p = 100 – 39, where p is the price per unit (in dollars)...
3. (20 points]Let x = 5000 - 20p where pe price and 1= demand. (a) Express the revenue function R(p) in terms of p. (b) Compute for the marginal revenue with the price set at p = 100. (c) With the goal of maximizing the revenue function, determine if we should increase the price when the current price is set at $100/unit. Give your reason. (d) Given the cost function C(x) = 4000+80r and with the price set at $100/unit....
Financial Mathematics Please answer question 4 and question 5 o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p = −0.04x + 517 (0 ≤ x ≤ 12,000) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by C(x) = 0.000004x3 − 0.05x2 + 400x + 80,000 where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield...
Please solve all of them. 7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
please help explain how to work these problems, Suppose a product's revenue function is given by R(q) = – 8q2 + 800q, where R(q) is in dollars and q is the number of units sold. Use the marginal revenue function to find the approximate revenue generated by selling the 39th unit. Marginal revenue = -624 ]* Preview dollars per unit Suppose a product's cost function is given by C(q) = -4q2 + 6000, where C(q) is in dollars and q...