3 Leary Chemical manufactures three chemicals: A, B,and C. These chemicals are produced via two productionprocesses: 1 and 2. Running process 1 for an hour costs $4and yields 3 units of A, 1 of B, and 1 of C. Running process2 for an hour costs $1 and produces 1 unit of A and 1 of B.To meet customer demands, at least 10 units of A, 5 of B,and 3 of C must be produced daily. Graphically determinea daily production plan that minimizes the cost of meetingLeary Chemical's daily demands.

Let ‘x’ be Process 1. Let ‘y be Process 2.

Answered: 3 Leary Chemical manufactures three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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M8
1. A major supermarket chain has decided to sub-contract production of ready-to-eat sandwiches to your production plant. Your plant can make three kinds of sand- wiches, each of which take the following amounts of raw ingredients (measured in grams) to produce: Sandwich | Chicken Cheese Lettuce Tomato Bread 45 15 25 10 13 Chicken Salad Chicken Club Cheese and salad 920 0 20 30 Chicken Salad Chicken Club Cheese and Salad 15 10 20 The total amount of time (measured in minutes) to make one of each sandwich is listed below, together with the price that the supermarket will pay to purchase one of each: Sandwich | Time to Make Price 2.8 4.8 1.3 60 90 60 £1.25 £1.65 £0.95 For the sake of this problem you can treat ingredients used and number of sandwiches made as continuous quantities we could perhaps think of this as the average made per day over a longer period, in which case making 100.43 sandwiches per day would still make sense. (a) Suppose that you have 5000g of chicken, 2500g of…
3.
33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…
QMB Apparel, Inc is a local clothing company that produces two types of shirt: Polo Shirts (P) & Dress Shirts (D). The profit contributions for each shirt and the associated production restrictions (in number of minutes available) are listed below: Polo Shirts (P) Dress Shirts (D) $25 $30 Profit per Unit Cutting Sewing Inspection Polo Shirts (P) Dress Shirts (D) Number of Minutes Available 40 50 1,200 40 1,100 20 1,050 60 70 Using the information in the tables above, what is the optimal amount of Polo Shirts (P) and Dress Shirts (D) that QMB Apparel should produce to maximize it's profits? 40 Polo Shirts (P) & 10 Dress Shirts (D) 5 Polo Shirts (P) & 20 Dress Shirts (D) 30 Polo Shirts (P) & 0 Dress Shirts (D) O0 Polo Shirts (P) & 48 Dress Shirts (D) 010 Polo Shirts (P) & 40 Dress Shirts (D)
1 ton of material 1 ton of material 2, and 11/13 3 10 The Kashif Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of ton of material 1 and 3 ton of material 3. A ton of solvent base is a mixture of // Kashif's production is constrained by a limited availability of the three raw materials. For the current production period, Kashif has the following quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P, priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P₁ level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? O Yes. It is possible to satisfy both P₁ level goals. O No. There is an insufficient…
14
The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms that Bayside uses for exhibitions is shown in the figure below; the openings between the rooms are numbered 1 through 13. Entrance Room 1 Room 2 Room 3 Room Room 4 4 7 7 Room 8 5 10 11 12 Room 13 Room 6 8
3. Hoosier Gasoline Company, or HoosCo as they are known, produces two blends of gasoline, regular and premium, by mixing three different types of oil, indi- cated by Types 1, 2, and 3. Each type of oil comes in barrels and has its own costs and octane readings, which are given below. Type I Type 2 Type 3 Cost/Barrel $45 $35 $20 Octane Rating Regular gasoline Premium gasoline Regular gasoline 93 91 87 To produce each blend of gasoline, we must combine these oils so as to meet the following requirements. Premium gasoline Maximum Available 10,000 15,000 20,000 At least 25% Type 1 At least 35% Type 2 At most 30% Type 3 At least 30% Type 1 At least 45% Type 2 At most 20% Type 3 There are also sales prices, average octane rating requirements for the gasolines, and minimum requirements in production of each blend. Average Octane Rating Sales Price 89 91 $65 $75 Minimum Demand 15,000 barrels 12,500 barrels How much of each type of gasoline should be produced to satisfy all require- ments and…

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