A manufacturer can produce at most 100 units of a certain product each year. The demand equation for the product is p =q² - 100q + 2100 and 2 the manufacturer's average-cost function is c = 10,000 q Determine the profit-maximizing output q and the corresponding maximum profit. The profit-maximizing output q is. 2 39-50q+
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- A manufacturer can produce at most 90 units of a certain product each year . The demand equation for the product is p= q2-100q+1800 and the manufacturer's average cost function c=2/3q2-55q+12000/q Determine the profit maximizing output q and the corresponding maximum Profit . The profit maximizing output q is 60With the tax at $10 per unit of output, at what output is the value for the new AC at it’s minimum? With the level of fixed cost at 50,000 at what output is the value for the new AC at its minimum?A construction company has determined its price-demand function for a certain product is given by C(x) = 200 - 0.5x and the total cost of the production of the product is given by C(x) = 1400 + 55x. a) What is the maximum revenue that the company can realize?
- . An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.denton productions limited utilizes statistical analysis to determine the optimal price for its sales to customera, during july 2020, the company was provided with the following demand and cost functions by a statistical research company, p=200-6Q, where p=price in dollars; and Q=quantitity of units in thousands TC=5Q2 + 24Q + 150, where TC is total costs in thousands of dollars a. determine the optimal output for july 2020 b. find the price that maximized profitLet 10p + x = 100 be the demand equation, where p is the price per item when x items are demanded. (a) Find the total revenue when the level of production is: (i) 40; (ii) 41; (b) Find the exact revenue derived from the 41st item. (c) Find the approximate revenue derived from the 41st item. (d) What is the error if the derivative is used to approximate the marginal revenue?
- Demand for a company’s product is given by the following equation: Q=1000-0.5P. You are also given that its total cost function TC=100+1000Q. Compute the profit maximizing price and quantity B. A firm earns an accounting profit of K150, 000 per year in project A. The firm could earn K150, 000 and K120, 000 in investments B and C, respectively. How much economic profit is the firm earning assuming the three projects are mutually exclusive?A producer faces a fixed cost of Rs. 50 and a variable cost Rs. 5 per unit of output when he produces less than 200 units of output. Assuming that total cost function is linear, determine the equation of the total cost of function. What is the break-even level of output if the price of output is Rs. 10 per unit. Also draw the relevant graphs. Determine the producer's net revenue if output is 12 units and the price of output is Rs. 5, Rs. 10 and Rs. 15A 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
- Consider an item that is ordered on a monthly basis. The daily demand for the item is200 and the lead-time for supply is 7 working days. A month consists of 25 workingdays. the cost of ordering is USD 100 per order and the cost ofcarrying inventory is USD 10 per unit per year of inventory.a. What will be the cost of the existing plan of ordering inventory?b. What will be the economic order quantity (EOQ)?c. What will be the new cost of the plan if the organization chose to order as perEOQ?A producer faces a fixed cost of Rs. 50 and a variable cost Rs. 5 per unit of output when he produces less than 200 units of output. Assuming that total cost function is linear, determine the equation of the total cost of function. What is the break-even level of output if the price of output is Rs. 10 per unit. Also draw the relevant graphs. Determine the producer's net revenue if output is 12 units and the price of output is Rs. 5, Rs. 10, and Rs. 15 respectively.It is known that the demand function for a good is shown by the equation P = - 5Q + 110 and the total cost of production is C = 100 + 10Q + 5Q². Calculate the maximum profit rate of sales, the amount of profit and the selling price per unit.