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- Parent W requires one of component B and two of component C. Both B and Care run on work center 10. Setup time for B is 2 hours, and run time is 0.1 hour perpiece. For component C, setup time is 2 hours, and run time is 0.15 hour per piece. Ifthe rated capacity of the work center is 80 hours, how many Ws should be producedin a week?Suppose the following graphical representation of columns in optimization model and RHS vector (b). Which pair of column vectors represents the optimal solution? (Suppose that all costs are equal)Under which scenario can a dove successfully invade (or persist among) a population of hawks? Group of answer choices E) Options B and C B) Lower resource value relative to cost (i.e., V > C and V < 2*C) C) Lowest resource value (V << C) A) When high resource value relative to cost (i.e., V= 2*C) F) Options A, B, and C D) Options A and B
- 1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use letters’ w, x, y, z as your basic variables) Determine the pivot row and optimum columnA manufacturer of microcomputers produces four models: Portable, Student, Office, and Network. The profit per unit on each of these four models is $500, $350, $700, and $1000, respectively. The models require the labor and materials per unit shown below. Portable Student Office Network Total Labor (hrs/week) 5 5 6 8 4000 Chassis (unit/week) 1 1 1 1 400 Disk Drive (unit/week) 2 1 2 1 300 Hard Disk (unit/week) 0 0 0 1 20 Memory Chip (unit/week) 16 8 32 64 22,000 Circuit Bds. (unit/week) 1 1 2 4 10,000 Formulate this product mix problem using linear programming.A mixed nut company uses Cashews nuts, Macadamias nuts and Brazil nuts to make 3 gourmet mixes. The table below indicates the weight in hundreds of gram of each kind of nut required to make a kilogram of the mix. Cashews nuts Macadamias nuts Brazil Nuts Mix A 5 3 2 Mix B 2 4 4 Mix C 6 1 3 If producing 1 kg of mix A costs $12.50, 1 kg of mix B costs $12.40 and 1 kg of mix C costs $11.70,a) determine the cost per kilogram of each different kind of nut. b) Hence, find the cost per kg to produce a mix containing 400 gram of Cashews nuts, 200 gram of Macadamias nuts and 400 grams of Brazil nuts.
- How do you determine if the row and coumn variables are independent in the contingency table with the critical value being within two degrees of freedom X^2R= 9.210? and the colums being 30 12 20 422 210 520From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.Find the starting solution of this transportation method by North-West Method. (Unit transportation costs are given in the table) D1 D2 D3 D4 Supply M1 8 16 18 20 25 M2 12 7 11 13 30 M3 10 5 20 22 15 Demand 20 15 15 20
- This time, our immune system is the best defense. With this, a Melagail wishes to mix two typesof foods in such a way that vitamin contents of the mixture contain at least 8 units of vitaminA and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitaminC. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg topurchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linearprogramming problem to minimize the cost of such a mixture.This time, our immune system is the best defense. With this, a Melagail wishes to mix two typesof foods in such a way that vitamin contents of the mixture contain at least 8 units of vitaminA and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitaminC. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg topurchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linearprogramming problem…A company that operated 10 hours a day manufactures two products on three sequential processes. The following table summarizes the data for the problem: Which of the following accurately shows the constraint on the daily capacity for the first production process? a.) 10x+5y≥10 b.) 10x+5y≥600 c.) 10x+5y≤10 d.) 10x+5y≤600the quantity, q, of a product manufactures depends on the number of workers.W , and the amount of capital invested, K, and is represented by the Cobb-Douglasfunctionq = 64W^3/4 K^1/4 .Suppose further that labor costs $18 per worker and capital costs $28 per unit, and thebudget is $4600. Let λ be the Lagrange multiplier. Does increasing the budget by $1 allow theproduction of λ extra units of the product? Explain why as shown in the image below..