5x, + 2x, <= 10and x,,x, >=D0Or(b) Solve the following LPP using Big M methodMinimize z =10x, +15x, + 20x3%3DSubject to constraints2x, + 4x, + 6x, >= 243x, + 9x, +6x3 >= 30X1,X2 , X3 >=018. (a) Solve the following problemsandMan13.46.WorkII9.109.III411IV8.73.3.2.4)

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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

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WK Qu. 7-11 A firm has prepared the following binary... A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 35x1 + 25x2 +15x3+ 30x4 s.t. 7x1 + 8x2 +7x3 + 13x4 ≤ 18 [Constraint 1} + x4 ≥ 2 [Constraint 2} X1 + x2 + x3 X1 + X2 ≤ 1 [Constraint 3} X1 + X3 ≥ 1 [Constraint 4) X2=X4 [Constraint 5) 1, if location j is selected xj = 0, otherwise Solve this problem to optimality and answer the following questions: a. Which of the warehouse locations will/will not be selected? Location 1 will Location 2 will Location 3 will Location 4 will be selected not be selected Net present value be selected not be selected b. What is the net present value of the optimal solution? (Round your answer to the nearest whole number.) 50 c. How much of the available capital will be spent (Hint: Constraint 1…
Maximize Z = x₁ + x₂, subject to X₁ X₂ ≤-3 2x₁ + 7x₂ ≤ 4 and x₁ ≥ 0, x₂ ≥ 0.
3. A company that produces a single product wants to determine its production, inventory holding and purchasing policies for the months of January, February and March. The firm has to meet the determined amount of demand every month. In order to meet this demand, it can produce itself or purchase that amount from another company. However, if production is to be made, either at least 100 units will be produced or not at all. In addition, due to technical capacities, maximum amounts that can be produced in a month is 400 units. In addition, the company has to pay 750$ of tax in the months it produces. The company can transfer the excess demand to the next month by bearing the inventory cost, but the company cannot stock more than 75 products due to the physical conditions in the warehouse. If the company wants to keep more units on inventory, they can rent a warehouse with a capacity of 125 products for 150$ per month. However, during this period, the company can rent this warehouse for…
?Q) Solve the LPP problems below by using big M-Method MIN Z=8X1+2X2 S.T X1+2X2=66 X1+6X2268 X1+4X2<82 X120,X220
The sketch of a feasible region is given below, which point is not a point consistent with a production option for this programming problem? (0,10) (0,8) (0,0) O (0,6) O (4,0) O (4,2) O (6,0) (2,8) (6,4) (6,0) 27 (10,0) They are all in the feasible region.
Find the values of x1 and x2 where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 12x1 + 9x22 73 (2) 6x1 + 2x2 12 x1 x2 Noxt
max TR = 8x1 + 10x2 subject to 0.5x; s0 8x: s 32 5x: 2 10 X 20 G-1, 2) - XI + 4x, + Calculate the primal problem solution. You are to provide numeric values for the xj, s, and TR.
Problem 7-41 Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for regular gasoline and $0.50 per gallon for premium gasoline. Each gallon of regular gasoline contains 0.3 gallons of grade A crude oil and each gallon of premium gasoline contains 0.6 gallons of grade A crude oil. For the next production period, Southern has 18,000 gallons of grade A crude oil available. The refinery used to produce the gasolines has a production capacity of 50,000 gallons for the next production period. Southern Oil's distributors have indicated that demand for the premium gasoline for the next production period will be at most 20,000 gallons. a. Formulate linear programming model that can be used to determine the number of gallons of regular gasoline and the number of gallons of premium gasoline that should be produced in order to maximize tota profit contribution. If required, round your answers to two decimal places. L Let R = P =…
Using Goal Seek for the following problem, how much is needed for John to deposit each year into an account to save $5,000 for his new Specialized Mountain bike. Assumes both deposit and withdrawal are at beg of each year Deposit = Interest= Yr 0 Yr 1 Yr 2 Beg Balance $0.00 $0.00 $0.00 Deposit $0.00 $0.00 -$5,000.00 Interest Earned 8% $0.00 $0.00 na End Balance $0.00 $0.00 -$5,000.00

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Solve the following LPP using Big M method Minimize z =10x, +15x, + 20x3 Subject to constraints 2x, + 4x, + 6x >= 24 3x, + 9x, + 6x, >= 30 and x,,x2,x3 >=0 >= 0