Consider the following linear programming problemMin8S3Ms.t.< 1,200,00060,0003,00050S+ 100M5S4MS, M, 2 0a. Write the problem in standard form.b. Use a graph to show each constraint and the feasible region.C. Identify the optimal solution point on your graph. What are the values of S andM at the optimal solution?d. What is the optimal value of the objective function?e. What are the values of slack and surplus variables at the optimal solution?VI NAL

Answered: Image /qna-images/answer/d0bd4a38-15b7-4027-8cf3-1d2c276bb35b.jpg

Answered: Consider the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 47,500 labor-hours and $3,413,000 available for the contractor's use. Belfair 3,700 $279,600 $25,000 Wexford 5,000 Aries 3,000 $205,000 $20,000 Labor-hours Capital Profit $350,000 $30,000 a. Building how many of each type of house will maximize her profit b. What is the maximum possible profit?
Hey I was Hoping if i could get some help with this question. Identify The variables X and Y: Find the objective Function: Graph The Constraints: Identify The vertices of the feasible region and their value
the picture gives the equation, please answer the following two questions i typed below in a digital response as it is hard to read some of the handwriting, thank you in advance d) Is there another pivot element? If so, continue until there are no more pivot elements. e) State the solution to the linear programming problem in sentence form
Solve the linear programming problem. Maximize and minimize z = 4x + 5y Subject to attempted 2x + y ≥ 30 x + 2y 2 24 x, y 20 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice. OA. Z= (Type an integer or a fraction.) OB. There is no maximum value of z. What are the coordinates of the corner point where the maximum value of z occurs? Select the correct choice below and fill in any answer boxes present in your choice. OA. The coordinates are (Type an ordered pair.) OB. There is no maximum value of z.. What is the minimum value of z?
Can you solve the following equation with a detailed explanations? Use the simplex method to solve the Linear Programming model. Determine the Optimal solution of the following.
5. A small business enterprise makes dresses and trousers. To make a dress, it requires ½ hour of cutting and 20 minutes of stitching. To make a trouser, it requires 15 minutes of cutting and hour of stitching. The profit on a dress is N$40 and on a pair of trousers N$50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit and what the maximum profit is. O A The maximum profit is N$800, 10 dresses and 8 trousers OB The maximum profit is N$850, 12 dresses and 6 trousers OC The maximum profit is N$860, 12 dresses and 6 trousers OD The maximum profit is N$880, 12 dresses and 8 trousers

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