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A company has invested in an online tool that is expected to generate a continuous revenue at a rate that increases 252 thousand TLs per time period t (t= 0 is when the tool begins to function). A continous promotion cost (in thousand TLs) function for 578 time periods, C(t), is also derived for the machine, C(t) = -t2 + 578t. Find out when the tool starts to generate profit? (Ignore the range of the cost function.
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- 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 the total revenue function R (x) = 10x + 0. then the expected revenue from the sale of 16th unit is approximatelyThe demand and cost function for a company are estimated to be as follows: P = 100 - Q TC = 50 + 80Q -10Q2 + 0.6Q3 What price should the company charge if it wants to maximize its profit in the short run? What price should it charge if it wants to maximize its revenue in the short run? Suppose the company lacks confidence in the accuracy of cost estimates expressed in a cubic equation and simply wants to use a linear approximation. Suggest a linear representation of this cubic equation. What difference would it make on the recommended profit-maximizing and revenue-maximizing prices?
- As an operations management consultant, you have been asked to evaluate a furniture manufacturers cash to cash conversion cycle under the following assumptions: sales of $23.5 million, cost of goods sold of $20.8 million, 50 operating weeks a year, total average on hand inventory of $2,150,000 accounts recievable equal to $2,455,000, and accounts payable of $3,695,000. Calculate the cost of goods sold per week and revenue per week.In addition to expenses for delivery and assembly of the facilities, Ammongas also has expenses for sales, administration, rent, etc. The company estimates that it is reasonable to state the total variable costs over an annual accounting period of approximately: TVC = 8,199,860 * Q3 - 123,570 * Q2 + 1,425,600 * Q, where Q is the number of plants delivered. 16 plants were delivered Derive the function expressions for the total AVC and MC functions mathematically within the given financial year. Illustrate the cost functions graphically and discuss the use of such an approximate function expression. Make the necessary assumptions yourself.ABC Company has the following information: Variable Cost per Unit is P 15; Fixed Expenses is P54,000; and Selling Price per Unit is P20. What should be the selling price per unit if break-even point is brought down to 6,000 units? ABC Company has the following information: Variable Cost per Unit is P 15; Fixed Expenses is P54,000; and Selling Price per Unit is P20. If the company will only sell 10,000 units for the month, how much profit or loss will they get?
- A manufacturer of Chocolate has a fixed cost of Tk.60000 and variable cost is Tk.7 perproduced Chocolate. Selling price is Tk.10 per Chocolate.Requirement- At what number of units will break even occur and At what sales (revenue) volume will break occur?A plant has sufficient capacity to manufacture any combination of four different products (A, B, C, D). For each product, time is required to be invested in four different machines, which is expressed in hours per kilogram of product, as shown in the following table as shown in the following table: (attached image) Each machine has an availability of 60 hours per week. Products A, B, C and D can be sold at $9, $7, $6 and $5per kilo, respectively. Variable labor costs are $2 per hour for machines 1 and 2, and $3 per hour for machines 3 and 4. The material costs for each kilogram of product A are $4. The material costs for each kilogram of products B, C, D and D are $4 each kilogram of products B, C and D are $1. What needs to be done:Formulate a profit-maximizing PL model given the maximum demand per product shown in the table (there are 16 variables). Note: Do it by hand, no computerThe cost of production is given by C(q) = 1/3 q3 -15/2 q2 +36q+ 81. For what number of units, the manufacturing cost is minimal.
- Product X is sold for $500 per unit. The total cost of production per year, including capital recovery and a return, is given by the expression TC = 0.04n3 − 700n + 50, 000 where n is the number of units sold. If TC represents the total of all fixed and variable costs, determine the following: a. The value of n that maximizes profit. b. The maximum profit for a year. c. The fixed cost per year.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.Your company is contemplating bidding on an RFP (Request For Proposal) to produce 100,000 units of a specialized part. Suppose, however, that the requesting company really needs only 90,000 units of the part. Also assume that, because the part is specialized, potential suppliers do not yet possess the machines and factories needed to produce it and that overhead expenses involved in production have yet to be incurred. Suppose the average costs of all potential suppliers are as follows: Units Average Total Cost (Dollars Per Unit) 90,000 4 100,000 3 True or False: The requesting company can solicit lower bids by requesting 100,000 units as opposed to 90,000.
