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- A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. b) Find the breakeven quantity c) How many units must be sold to maximize profit? d) What is the company’s maximum profit?M. Cotteleer Electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. One of the components has an annual demand of 250 units, and this is constant throughout the year. Carrying cost is estimated to be $1 per unit per year, and the ordering (setup) cost is $20 per order. a) To minimize cost, how many units should be ordered each time an order is placed? b) How many orders per year are needed with the optimal policy? c) What is the average inventory if costs are minimized? d) Suppose that the ordering (setup) cost is not $20, and Cotteleer has been ordering 150 units each time an order is placed. For this order policy (of Q 5 150) to be optimal, determine what the ordering (setup) cost would have to be.A drywall company in Alberta manufactures dry-wall panels for modular construction companies. Variable costs are $20 per unit and fixed costs are $10,875. the price-demand relationship for the panels is: P = -0.25D + 250 where P is the unit sales price of the drywall panels and D is the annual demand. Knowing that Revenue = Demand X Price Profit = Revenue – Total Cost What profit would the company obtain by maximizing its total revenue if the total -0.25x^2+$250x? Select one: a. $550 b. $650 c. None d. $500
- Conduct the PESTLE analysis for the company "Under Armour".Calculation of break-even point for mask production/sale in the vicinity. Can a break-even point be achieved in a period of three months by selling less than 200 masks per month?If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x 125, its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (i) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, Π(x) for company A. (iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes. (vi) From your graph, determine the break-even level of output for company A. (vii) Derive the total revenue function, R(x) for company B. (viii) Derive the profit…
- Annual demand is 42,626 units/year. Ordering Cost is $52/order. Holding cost is $5/unit/year. What is the time between the two orders in days (assuming 365 days per year)?If the fixed cost of producing output Y is P150,000, variable cost is P300 per unit and the price of Y is P600 per unit. How many units should be produced to break-even?A manufacturer of a new patented product has found that he can sell 70 units a week to the customer if the price is $48. In error, the price was recently advertised at $78 and as a result only 40 units were sold in a week. The manufacturers fixed costs of production are $ 1710 a week and variable costs are $9 per unit. You are required to Find where the manufacturer breaks even.
- A firm has an annual demand of S units for a good whose purchase cost is £c per unit. Each order costs £a to place, and the cost of holding stock is b% of the average value of stock per annum. Determine the optimal order quantity. A local firm uses 2000 units of a particular component each year. The component has a purchase price of £4/unit, while the cost of holding stock is estimated at 20% of the average stock value. If the cost of placing each order is £12.50, find the optimal number of orders placed each year. Suppose the component supplier offers a discount of 2% on the purchase price if orders are placed in units of 1000. Is the discount worth accepting? Suppose that instead of a single figure you had been given a probability distribution for the number of units used each year. Indicate the effect on stock policy.. Please explain fully , the last part is also important to solve.At the break-even point of 2000 units, variable costs are $55000, and fixed costs are $32000. How much is the selling price per unit? $11.5 $43.5 $16 $27.5If company A manufactures t-shirts and sells them to retailers for US$9.80 each It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and sell them directly to consumers. The demand for its product is p = 15 − x/125 ,its production cost per unit is US$5.00 and its fixed cost are the same as for company A. Derive the total revenue function, R(x) for company. Derive the profit function, Π(x) for company. How many t-shirts must company B sell to in order to break-even? How many t-shirts must company B sell to maximize its profit?