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please solve a,b,c and -Compute the unit worth of resource 1 (defined by 1st constraint) and the range of its validity -Compute the unit worth
please solve a,b,c and
-Compute the unit worth of resource 1 (defined by 1st constraint) and the range of its validity
-Compute the unit worth of resource 2 (defined by 2nd constraint) and the range of its validity.
clearly with non-cursive handwriting so it can be clear to me (or keyboard). thank you
Example 2.1-1 (The Reddy Mikks Company): PROBLEM The Reddy Mikks company produces both interior and exterior paints from two basic raw materials, M1 and M2 The following table provides the basic data of the problem Tons of raw material per ton of paint Exterior Interior Max daily availability (tons) Raw Material, M1 6 4 24 Raw Material, M2 1 2 6 Profit per ton $5,000 $4,000 The daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton The maximum daily demand for interior paint is 2 tons What is the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit? Graphical LP Solution: Example (Max) 1. Finding the Feasible Region A X2 Maximize z = 5,000x1 + 4,000x2 subject to 6x1 + 4x2 = 24 X1 + 2x2 0 1 4 Feasible Region X1 6 ISE 303 - Term 202 Dr. Yasser Almoghathawi, KFUPM 16 5. Problem 3-66 (page 160): Parts a, b, and c. Compute the unit worth of resource 1 (defined by 1st constraint) and the range of its validity. Compute the unit worth of resource 2 (defined by 2nd constraint) and the range of its validity. 3-66. In the Reddy Mikks model of Example 2.2-1: (a) Determine the range for the ratio of the unit revenue of exterior paint to the unit revenue of interior paint. (b) If the revenue per ton of exterior paint remains constant at $6000 per ton, determine the maximum unit revenue of interior paint that will keep the present optimum solution unchanged. (c) If for marketing reasons the unit revenue of interior paint must be reduced to $2500, will the current optimum production mix change? Example 2.1-1 (The Reddy Mikks Company): PROBLEM The Reddy Mikks company produces both interior and exterior paints from two basic raw materials, M1 and M2 The following table provides the basic data of the problem Tons of raw material per ton of paint Exterior Interior Max daily availability (tons) Raw Material, M1 6 4 24 Raw Material, M2 1 2 6 Profit per ton $5,000 $4,000 The daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton The maximum daily demand for interior paint is 2 tons What is the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit? Graphical LP Solution: Example (Max) 1. Finding the Feasible Region A X2 Maximize z = 5,000x1 + 4,000x2 subject to 6x1 + 4x2 = 24 X1 + 2x2 0 1 4 Feasible Region X1 6 ISE 303 - Term 202 Dr. Yasser Almoghathawi, KFUPM 16 5. Problem 3-66 (page 160): Parts a, b, and c. Compute the unit worth of resource 1 (defined by 1st constraint) and the range of its validity. Compute the unit worth of resource 2 (defined by 2nd constraint) and the range of its validity. 3-66. In the Reddy Mikks model of Example 2.2-1: (a) Determine the range for the ratio of the unit revenue of exterior paint to the unit revenue of interior paint. (b) If the revenue per ton of exterior paint remains constant at $6000 per ton, determine the maximum unit revenue of interior paint that will keep the present optimum solution unchanged. (c) If for marketing reasons the unit revenue of interior paint must be reduced to $2500, will the current optimum production mix changeStep by Step Solution
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