Consider the total revenue function, TR = 28 + 7Q + 7Q^2 Find the marginal revenue (MR) at Q= 15. Consider the total cost function, TC = 34 + 5Q - 7Q^2 + 5Q^3 Find the marginal cost (MC) at Q= 15.

A firm has a linear demand function for it's product.When the price for the product is Sh.220,the quantity demanded is 40 units.When the price increases to Sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is given by; MC = 40Q-2Q^2+2 Fixed cost = Sh. 5 million Where Q= quantity demanded, Mc= marginal cost(cost in Sh. Million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at a maximum profit

For a certain production process, fixed costs are $60,000. Variable costs are $30 per unit of production. Therefore, the total cost function is given by TC(x) = 60,000 + 30x. What is the marginal cost at x = 10? x = 20?

SANUMARC produces fingerlings for sell. The quantity x (kg) of these fingerlings demanded each week is related to the wholesale unit price p by the equation P = − 0.006x + 180 The weekly total cost incurred by SANUMARC for producing x kgs of fingerlings is C(x) = 0.000002x3 – 0.02x2 + 120x + 60,00 a. Find the marginal cost function C,  b. Find the marginal revenue function R’  and the marginal profit function P’  c. Compute P’(2000) and interpret the results.

Consider the total cost function, TC = 25 + 6Q - 5Q^2 + 6Q^3 Find the marginal cost (MC) at Q= 6.

For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)^2+4,050. The maximum capacity of the company is 130 items. The profit function P(x) is the revenue function R(x) (how much it takes in)  minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit! 1. Assuming that the company sells all that it produces, what is the profit function? P(x)= 2. What is the domain of P(x)? 3. The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose? 4. Can you explain, from our model, why the company makes less profit when producing 10 more units?

If C(x) = 19,000 + 400x – 3.6x2 + 0.004x³ is the cost function and p(x) = 1,600 – 9x is the demand function, find the production level (in units) that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.) units Need Help? Read It

Эшestion 1 A computer retailing company specializes in the sale of jump drives to community college tudents. The demand function for jump drives is p=2x+10x+1000 dollars For the samne company the average cost function is given as: ē = 2x +36x-1600- 20 * dollars Where p is the price in dollars and x represents units of output. 1) i1) Find the price and output that will maximize profit. Find the maximum profit

Given the cost function ,  TC = 4q2 + 9 - calculte marginal cost ?

The company AffordableStuff sells cell phones. The marginal cost for each cell phone is given by the equation C(x) = 0.01x² – 3x + 229. a is the number of cell phones manufactured and sold. The marginal revenue function is R(x) = 429 – 2.x. Both C(x) and R(x) are given in dollars. a) Where do these curves intersect? What do those intersection points mean? b) Find the area between the curves, using end points that make sense. Round to the nearest cent. c) What does the area under the curve mean in this case?