The cost function for q units of a certain item is C(q) = 106q + 104. The revenue function for the same item is R(q) = 106q + 47q/In(q) Find the marginal cost. Find the profit function. Find the profit from one more unit sold when 8 units are sold.
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- Suppose a product's revenue function is given by R(q)=−6q2+400q, where R(q)is in dollars and qis units sold. Also, it's cost function is given by C(q)=103q+3333, where C(q)is in dollars and qis units produced. Find a simplified expression for the item's Marginal Profit function ( MP(q)) and record your answer in the box. Be sure to use the correct variable. (Use the Preview button to check your syntax before submitting your final result). Answer: MP(q)=Suppose that the marginal revenue for a product is MR = 775 and the marginal cost is MC = 39 times sq. root of x+1, with a fixed cost of $906. Find the profit function, then find the profit or loss fromthe production and sale of 3 units.__________________________________________________What is the cheapest way of producing 850 units of output if a firm operates with theproduction function 0.5 0.5 Q = 30K L and can buy input K at 75 $ per unit and L at 40 $per unit?
- Q2.The management of an ‘Electronic Goods’ manufacturing company asked you to give an advice about changing its current production plan, given the following information:- Annual production plan of computers is 4200 computers.- Total cost of production is OMR 824000.- Fixed cost is OMR 320000.- Revenue function: R = 460.2Q – 0.05Q2 1-Use the above information to formulate the price function and the total cost function, and determine the following: 1) Profit-maximizing quantity.2) Profit-maximizing price.3) Maximum profit value.4) Revenue-maximizing quantity. 2-Should the company change its current annual production plan of computers in order to maximize its profit?Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function is given by C(q)=550+12qC(q)=550+12q, where qq is hundreds of units sold/produced, while R(q)R(q) and C(q)C(q) are in total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)=MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)A firm has the following information on production and costs from past data: Output (Y) 0 6 12 18 Total Cost (TC) 9 2775 5361 8199 If the total cost function is known to be TC=aY3+bY2+kY+f, and the demand for the product of the firm is Y=320-(1/2)P. answer the following: Determine the coefficient of the cubic cost function. Derive all cost and revenue curves and the profit function. Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all points.
- A manufacturer has found out that if he is to increase his current sales, he must lower his current price. His marginal revenue (MR) from an output x is given by the expression MR=148 – 2x. The marginal production cost (MC) is Ksh 36 and fixed costs amount to Ksh 1,000. Required i) Derive the revenue and total cost functions. ii) Determine the output and price that would maximize profit. iii) Compute the maximum profit.Suppose the revenue (in dollars) from the sale of x units of a product is given by R(x) = 56x2 + 65x 2x + 2 . Find the marginal revenue when 25 units are sold. (Round your answer to the nearest dollar.)$ Interpret your result. When 25 units are sold, the projected revenue from the sale of unit 26 would be $ .Suppose that the marginal revenue for a product is MR=775 and the marginal cost is MC39sqrt(x+1), with a fixed cost of$906.00 Find the profit or loss from the production and sale of 3 units.
- A commodity has a demand function modeled by p = 106 − 0.5x and a total cost function modeled by C = 30x + 33.75, where x is the number of units. (a) What unit price (in dollars) yields a maximum profit? $ per unit (b) When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.) $ per unit• Use the total cost (TC) schedule that is presented in the table below to determine the optimal rate of production when the firm can sell all of the output it produces at a price $8 per unit. Also determine the level of profit (or loss) that the firm will experience at this level of output.Q0123456789 TC 15 17 18 20 24 30 38 48 60 82Suppose a firm has the following expenditures per day: $250 for wages and salaries, $50 for materials, $60 for equipment, and $40 for rent. The market wage for the manager is $120 per day but the owner-manager does not draw a salary. Assume the daily revenue is $420. What are the daily economic costs for the firm described above? Just give equation formula.