a. Using the graphical solution procedure, find the optimal solution and determine how many tons of each product should be produced. Using this information, what is the projected total profit contribution (in dollars)?
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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.A mixture of pellets is to be made containing x regular pellets, y large pellets and z extra large pellets. Cost, weight and volume data for each type of pellet are shown in the table. Is it possible to make mixture of 55 pellets at a cost of $0.85 if the mixture is to have 120 weight units and 130 volume units? If so, how many each type of pellet should be in the mixture? Pellet Type 5. Number of Cost per Pellet in Cents Weight Units per Pellet Volume Pellets Units per Pellet Regular Large Extra large 2 1 4 y 1 4 3Slim-Down Manufacturing makes a line of nutritionally complete, weight-reduction beverages. One of their products is a strawberry shake which is designed to be a complete meal. The strawberry shake consists of several ingredients. Some information about each of these ingredients is given below. Calories Total Vitamin Calories Content (per tbsp) (mg/tbsp) 50 20 100 0 120 80 Ingredient Strawberry flavoring Cream Vitamin supplement Artificial sweetener Thickening agent from fat (per tbsp) 1 75 0 0 30 0 50 0 2 Thickeners (mg/tbsp) 3 8 1 2 25 Cost (c/tbsp) 10 8 25 15 6 The nutritional requirements are as follows. The beverage must total between 380 and 420 calories (inclusive). No more than 20% of the total calories should come from fat. There must be at least 50 milligrams (mg) of vitamin content. For taste reasons, there must be at least two tablespoons (tbsp) of strawberry flavoring for each tbsp of artificial sweetener. Finally, to maintain proper thickness, there must be exactly 15 mg…
- The seasonal yield of olives in a Piraeus, Greece, vineyard is greatly influenced by a process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller size olive. It also, though, permits olive trees to be spaced closer together. The yield of 1 barrel of olives by pruning requires 5 hours of labor and 1 acre of land. The production of a barrel of olives by the normal process requires only 2 labor hours but takes 2 acres of land. An olive grower has 250 hours of labor available and a total of 150 acres for growing. Because of the olive size difference, a barrel of olives produced on pruned trees sells for $20, whereas a barrel of regular olives has a market price of $30. The grower has determined that because of uncertain demand, no more than 40 barrels of pruned olives should be produced. Use graphical LP to find (a) the…d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.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 above
- A manufacturer has a production facility that requires 10,237 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 6 days. The unit purchase cost is $31.4 per unit. The cost to place and process an order from the supplier is $168 per order. The unit inventory carrying cost per year is 12.2 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 1,053 units per order, what is the annual holding cost? Use at least 4 decimal places.Will’s Welded Widgets (WWW) makes its Q Model from components R, S, and T. Component R is made from 2 units of component X and 2 unit of component Y. Component T is made from 1 unit of component V and 2 units of component Z. Calculate the gross requirements for each of the components when the company plans to build 70 of its Q Model if you have these inventories: 70 units of component T and 110 units of component R, using the given information: Item Usage per Parent Q - R 2 S 2 T 1 X 2 Y 2 V 1 Z 2 Q R S T X Y V Z Put the answers down into the table: (If answer is zero, please enter 0, do not leave any fields blank.) Product Gross Requirements Q…Becton Labs, Inc., produces various chemical compounds for industrial use. One compound, called Fludex, is prepared using an elaborate distilling process. The company has developed standard costs for one unit of Fludex, as follows: Standard Quantityor Hours Standard Priceor Rate Standard Cost Direct materials 2.30 ounces $ 26.00 per ounce $ 59.80 Direct labor 0.50 hours $ 14.00 per hour 7.00 Variable manufacturing overhead 0.50 hours $ 3.40 per hour 1.70 Total standard cost per unit $ 68.50 During November, the following activity was recorded related to the production of Fludex: Materials purchased, 12,500 ounces at a cost of $305,625. There was no beginning inventory of materials; however, at the end of the month, 2,800 ounces of material remained in ending inventory. The company employs 21 lab technicians to work on the production of Fludex. During November, they each worked an average of 150 hours at an average pay rate of $12.00 per hour.…
- The general equation for the process capability ratio is: |USL – LSL| Cp.k (1 – k) 60 where k = 2 · USL – LSL| Combining these equations gives the simplified equation: |USL – LSL|– 2 · |T – µ| Cp.k 60 A company's customers require that the product supplied have a product metric value between 2 and 8 with a target of 5. The average of the products produced is 5.3, and the standard deviation is 1.2. What is the process capability ratio?XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?Product D is stocked only at the AMC Chemical Company's Dallas warehouse and at the company's plant warehouse in Akron. The sales director has forecast product sales from the Dallas warehouse to be 40 units per week for the next 8 weeks. Product D is manufactured at the firm's Akron plant using 2 units of ingredient X per unit of product D. Suppose product D's actual sales at the Dallas warehouse in week 2 were 31 units. Again, all planned shipments/orders were released and expedite actions taken. What action would the master scheduler take on the basis of this information? In this situation, what modifications to the master production schedule might be taken? (4 points) Information: Ingredient X Projected available balance: 4 Units Safety stock quantity: 2 units Product D in Dallas Warehouse Product D in Plant Projected available balance: 85 Units Safety stock quantity: 5 units Lead time: 2 weeks Warehouse Projected available balance: 42 Units Safety stock quantity: 2 units Lead time:…