Solve the previous formulated model (Burger Doodle franchise) by using Excel and POM-QM, the optimal solution is O x1=0, x2-300 O x1=300, x2=0 - O x1-100, x2=300 O x1-300, x2=100
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?
- 2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i B 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a shortest-path problem by drawing a…
- A retail store sold in the month of April 5,000 products that produced $45,000 in sales. In the month of May the company sold 6,000 products. The store workforce consists of four full-time workers who work 40-hour week. In April the store also had seven part-time workers at 10 hours per week, and in May the store had nine part-timers at 15 hours per week (assume four weeks in each month). Using sales dollars as the measure of output (assume the price of the product was the same for both months), what is the percentage change in labor productivity from April to May? Answer: 2.3. The ore of a gold mine in the province contains, on average, 0.5 ounce of gold per ton. Method A ofprocessing costs 150Php/ton and recovers 93% of the gold, while Method B costs only 120Php/tonand recovers 81% of the gold. If gold can be sold at 1,200/ounce, which method is better and by howmuch?a. Method A, by 43Phpb. Method A, by 42Phpc. Method B, by 42Phpd. Method B, by 43Php e. None of the aboveAs a potential owner of a club known as Club Salida, you are interested in determining the necessary volume of sales in dollars to reach the breakeven next year. You decided to break down the club's sales into. four categories, where beer is the first. Your estimate of the sale of beer is that it will serve 30,000 servings. The selling price per unit will average $ 1.50; its cost is $ .75. The second category is food, of which you expect sell 10,000 units with an average unit price of $ 10.00 and a cost of $ 5.00. The third category is desserts and wine, of which you also hope to sell 10,000 units, but with an average unit price of $ 2.50 and a cost of $ 1.00. The last category is inexpensive lunches and sandwiches, of which you expect sell a total of 20,000 units with an average price of $ 6.75 and a cost per unit of $ 3.25. Your fixed costs (i.e. rent, utilities, etc.) are $ 1,800 a month plus $ 2,000 a month for entertainment. a) What is your breakeven point in dollars per month? b)…
- . A group of students organizes a bake sale in which they sell hundreds of cookies at $1per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables is an output variable?a. 3b. 4c. 5d. None of the above6. A dessert shop plans to purchase a new commercial ice cream maker to replace the old one. They are deciding on two models: Model SUPER costs $3,000 for purchase and $1 in average to make one serving of ice cream. Model PRO costs $5,000 for purchase and a lower cost of $0.8 to make one serving of ice cream. The shop is selling $4 per ice cream serving in average. What would be the monthly demand (in servings) to make Model PRO more preferred? Select one: a. at least 16,000 servings b. no more than 10,000 servings c. at least 10,000 servings d. model PRO is always preferred. e. always no preference.A company has the following demand data for the last three years of sales for their popular product B. There are currently 5 workers assigned to the production line, each capable of producing approximately 8 units per month. It is assumed that each month has the same number of production days. They can hire more workers at a hiring and training cost of $800 per worker. If they layoff any workers, the unemployment cost is $2,000 per worker. The product has a standard production cost (labor, material, and overhead) of $300 per unit. The extra cost to produce one unit on overtime is $50 and the maximum overtime is two units per month per worker. They can use inventory but it will cost them $25 per unit per month for any unit in inventory at the end of the month. Failure to meet market demand typically will imply the customer will buy from another supplier, and therefore cost the company $100 in profit. They currently have 0 units in inventory. a. Use the demand data to develop a forecast…