how Need help answering my study guide I get some of the problems but still need further explaining on them.
19] Companies A, B, and C supply components to three plants (F, G, and H] via two crossdocking facilities [D and E]. It costs $4- to ship from D regardless of nal destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 4-50, and 200 units respectively. m facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Sketch the network for this problem and label all nodes and arrows with the appropriate information. 20] Consider the following linear programming problem: MIN Z = 3x1 - x2 Subject to: -2x1 + x2 5 5 8x1 - 4x2 2 20 x1, x2 2 0 3: integer What is minimum cost and the value of x1 and x2 at the optimal solution? Cell Name Final Reduced Objective Allowable mvue Cost Coefcient Increase Decreas -. $B$13 A 9 0 ? 1E+30 1.25 $C$13 B 0 -2 2 2 1E+30 $D$13 C 1 0 4-4- .33 5 21] WlHC. makes tractors and lawn mowers. The rm makes a profit of $40 on each tractor and $50 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table. Let x = number of tractors produced per period; and y = number of lawn mowers produced per period. The graphical solution is shown below. a. Formulate the problem. b. Considering the graphical solution, what is the shadow price for assembly constraint? 22] Due to increased sales, a company is considering building three new distribution centers [DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 [in thousands of dollars). The cost to operate DC 2 is $600 [in thousands of dollars). The cost to operate DC 3 is $525 [in thousands of dollars]. Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision. The table below shows the cost [$ per item] for shipping from each DC to each region. The demand for region A is 70,000 units; for region B, 100,000 units; for region C, 50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for each distribution center will be 500,000 units. a. Write the constraints for the three distribution centers. b. What is the constraint for the demand regions A? 23] An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand Machine Shop Fabrication Assembly Tractor 2 hours 2 hours 1 hour Lawn Mower 1 hour 3 hours 0 hour Hrs. Available 60 hours 120 hours 45 hours 22] Due to increased sales, a company is considering building three new distribution centers [DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 [in thousands of dollars). The cost to operate DC 2 is $600 [in thousands of dollars.]. The cost to operate DC 3 is $525 [in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision. The table below shows the cost [$ per item] for shipping from each DC to each region. The demand for region A is 70,000 units; for region B, 100,000 units; for region C, 50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for each distribution center will be 500,000 units. a. Write the constraints for the three distribution centers. b. What is the constraint for the demand regions A? 23] An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand Machine Shop Fabrication Assembly Tractor 2 hours 2 hours 1 hour Lawn Mower 1 hour 3 hours I] hour Hrs. Available 60 hours 120 hours 45 hows [in thousands per day] are shown in Table below. a. What is the appropriate [non-linear) objective function for this scenario (hint: distances are Euclidean]? b. Zoey's Catnip Toys faces the following relationship between price [p] and demand [v]: v = 2000 - 200p. The xed cost is $500 and variable cost is $1. Write an expression for the total prot c. What price should Zoey charge to maximize profit in question 23b? \"mm _\"-- __m
