CLOS Points) Student's Nams the following LP graphical model where active time then the following questo slustrated cons

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Clos Points Student S Nams The Following Lp Graphical Model Where Active Time Then The Following Questo Slustrated Cons 1 (41.86 KiB) Viewed 34 times

Clos Points Student S Nams The Following Lp Graphical Model Where Active Time Then The Following Questo Slustrated Cons 2 (63.77 KiB) Viewed 34 times

CLOS Points) Student's Nams the following LP graphical model where active time then the following questo slustrated constraints in the next graph from the table below four then indicate their corresponding number in the table below Number Number 10 X 560 o Constraint G H X: 560 X-X, 20 2x380 3 6X) + 4X: 20 y < y X; - X:50 4X1 + 4 X: 216 10 X 10 X 50 X. + X, 50 10 X 40 + 5X, 5X, 50 60 X, 40 X, SO (b) Circle the correct feasible region (A, B, C, D, E, F, G, H, or 1), then indicate if it is bounded centended repet (c) For Max X, Identify the optimal solution on the role then write it down below and indicate if it is unique, unbounded of multiples (d) Based on your work in part (c), identify one binding constraint and one nonbinding constraint. (e) Each constraint has a numerical value associated with it called the shadow price". The shadow price is defined as the amount by which the optimal objective function value will change due increasing the right-hand-side (RHS) of a constraint by one unit. Based on this definition, find the value of the shadow price for constraint on the graph, if the objective function is to Maximize X: ( Consider the objective function: Minimize 500 X, + 300 X: Draw the objective function on the above graph then find the optimal solution and optimal value of the objective function,

H Chestion A 15 Points) Student's Name Company manufacture products A, B and C Nach product requires certain amount of labor and row material and yields certain profit for every unit produced. The data are as follows Products A C Availability/Week Labor Required. Hours Uni 3 6 2 240 Hours Raw Material Required (lbs Unit 8 9 2000 lbs Profit Generated (SyUnit . 5 According to company policy, product "A" must constitute at least 40% of the weekly production mix (the total number of products to be made in a given period). Also, product must constitute no more than of the weekly product mix. The objective is to find a mix that will maximize weekly profits Set up the objective function and constraints for the above situation algebraically, considering AB, and care representing the weekly production of products A, B, and respectively Question #2(10 Points) Student's Name A correction center (prison) is trying to decide what to feed its prisoners. They would like to offer some combination of milk, beans, and oranges. Their goal is to minimize cost, subject to meeting the minimum nutritional requirements imposed by law. The cost and nutritional contents of each food, along with the minimum nutritional requirements are shown below, where xi daily sallons of milk per prisoner, 3 daily cups of beans per prisoner, and daily number of oranges per prisoner Milk Beans Oranges Min Daily (gallons) (cups) (piece) Requirements Minimize Cost $0.46X1 + $0.19x2 + $0.27% Niacin (m) 5.2 1.8 22 subject to Niacin: 4.2 X: +52 + 1.8 X: 22 mg Thiamin (m) 4.5 2.1 0.33 1.9 Thiamin: 4.5 x + 2.1 x + 0.33 X: 2 1.9 mg Vitamin C: +41.0 X 80 mg VII - TIN C (4) 32 80 0.0 41 Unit Cost (5) 0.46 0.19 0.27 X1 X2 X30 and integers Set up an appropriate spreadsheet model for the above case to be used in finding the optimal mix of milk, beans, and oranges to minimize the cost of the meals while meeting the nutritional requirements using SOLVER module (with integer variables) on Excel. Submit your worksheet on Blackboard- Midterm folder, then Comment below on your results after solving the spreadsheet model using your own words, indicating whether the above is a (resource allocation or cost-benefit model 32 X Comments: