Linear programming

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Linear Programming

M4.1 Ingalls Markets sell its own brand of canned corn as well as several national brands. The store makes a profit of $0.58 per can for its own corn and a profit of $0.46 for each can of corn for the national brands. The store can use up to 12 square feet of shelf space for canned corn and each can of corn takes up 9 square inches of shelf space. Ingalls brands always sell less than half as many...
Linear programming

A mining company produces 300 tons of red ore and 210 tons of black ore each week. These can be treated in different ways to produce three different alloys, Soft, Hard or Strong. To produce 1 ton of Soft alloy requires 5 tons of red ore and 3 tons of black. For the Hard alloy the requirements are 3 tons of red and 5 tons of black, whilst for the Strong alloy they are 5 tons of red and 5...
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Universal Claims Processors processes insurance claims for large national insurance companies. , Most claim processing is done by a large pool of computer operators,some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day, whereas a temporary operator can process 12 per day, andon average the company processes at least 450 claims each day. The company has 40 computer workstations. A permanent operator generates about 0.5 claims with errorseach day, whereas...

Linear Programming question

Solve the following Integer Linear Programming Problem graphically using the method presented in class. Indicate whether problem is unbounded, infeasible and if an optimal solution exists, clearly state what the solution is. MAX Z = X1 + 2X2ST 4X1 + 6X2 ≤ 22 X1 + 5X2 ≤ 15 2X1 + X2 ≤ 9 X1, X2 ≥ 0 and X1 integer
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Linear Programming Question

Linear Programming Question

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Solve the linear programming problem with two-phase methodmaxz=2x +3x 122x +2x ≤12 12s.t.x +2x ≥14 12xx≥0
Linear Programming Question

Rina needs at least 48 units of protein, 60 units of carbohydrates, and 50 units of fat each month. From each kilogram of food A, she receives 2 units of protein, 4 units of carbohydrates, and 5 units of fats. Food b contains 3 units of protein, 3 units of carbohydrates, and 2 units of fats. If food A costs Php110 per kilogram and food B costs Php 90 per kilogram. How many kilograms of each food should Rina buy...
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A furniture company manufactures desks and chairs. The sawing department cuts the lumber for both products, which is then sent to separate assembly departments.Assembled items are sent for finishing to the painting department. The daily capacity of the sawing department is 200 chairs or 80 desks. The chair assembly departmentcan produce 120 chairs daily and the desk assembly department 60 desks daily. The paint department has a daily capacity of either 150 chairs or 110 desks. Given thatthe profit per...