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) John's Locomotive Works manufactures a model locomotive. It comes in two versions--a standard (X1), and a deluxe (X2). The standard version generates $250 per locomotive for the standard version, and $370 per locomotive for the deluxe version. One constraint on John's production is labor hours. He only has 34 hours per week for assembly. The standard version requires 280 minutes each, while the deluxe requires 390 minutes. John's milling machine is also a limitation. There are only 21 hours a week available for the milling machine. The standard unit requires 60 minutes, while the deluxe requires 120. Formulate as a linear programming problem, and solve using Excel Solver.
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- A product requires four parts that are made on the same lathe. Call the parts A, B, C,and D. The product requires 1 unit of A, 2 of B, 4 of C, and 8 of D. Which of the following production cycles is most appropriate?a. A: 100, B: 100, C: 100, D: 100 c. A: 100, B: 150, C: 200, D: 400b. A: 101, B: 102, C: 104, D: 108 d. A: 100, B: 200, C: 400, D: 800arrow_forwardPA 5-12 (Static) A pharmaceutical company creates... A pharmaceutical company creates a compound with a four-stage process: Heat Acid 250 kg/hr Reaction 200 kg/hr Separation 200 kg/hr 15% 45% Some of the resources have partial yields: 15 percent of material is discarded after the Acid step and 45 percent of the material is discarded after the separation step. The capacities of the last three steps are indicated in the diagram above. Instruction: Round yield of this process answer to 4 decimal places and minimum capacity answer to 2 decimal places. (a) What is the yield of this process? (b) What is the minimum capacity (kg/hr) of the first step, Heat, so that the process can yield 100kg/hr of final product?arrow_forwardWithout using excelarrow_forward
- Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…arrow_forwardThe term "process view of organizations" refers to the fact that a process includes manufacturing and services only. a process includes manufacturing only. a process includes any part of organization including accounts payables and receivables. a process includes services only. None of these answer choicesarrow_forwardFast solve botharrow_forward
- a chain saw requires 4 hours of assembly and wood chipper 3 hours.A maximum of 36 hours of assembly time is available.The profit is $150 on a chain saw and 220 on a chipper.How many of each should be assembled for maximum profit?arrow_forwardGMPs are a combination of manufacturing and management practices aimed at ensuring that food products are consistently produced to meet specifications and customer expectations. GMPs requirements related to the design and layout of food plants include: • Single-floor versus multistory buildings • Land space for future expansion• Waste disposal • Building details (drainage, doors, lighting,ventilation, plumbing) how can we apply GMPs into yogurt manufacturerarrow_forwardHart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 A 1.50 3.00 2.00 B 2.00 1.00 2.50 C 0.25 0.25 0.25 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $23 for product 1, $27 for product 2, and $28 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.) Max 23P1 +27P2+28P3 s.t. +3P2+2P3≤ 450 Department A 1.5P1 Department B 2P1+1P2 +2.5P3 <350 Department C 0.25P1 +0.25P2+0.25P3 <50 P1, P2, P3 ≥0 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P1, P2, P3) = 60,80,60 with profit $ 5220 (c)…arrow_forward
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