PROBLEM SET 2.1A 1. For the Reddy Mikks model, construct each of the following constraints and...

PROBLEM SET 2.1A 1. For the Reddy Mikks model, construct each of the following constraints and express it with a linear left-hand side and a constant right-hand side: *(a) The daily demand for interior paint exceeds that of exterior paint by at least 1 ton. (b) The daily usage of raw material M2 in tons is at most 6 and ar least 3. *(c) The demand for interior paint cannot be less than the demand for exterior paint. (d) The minimum quantity that should be produced of both the interior and the exterior paint is 3 tons *(e) The proportion of interior paint to the total production of both interior and exterior paints must not exceed 5. 2. Determine the best feasible solution among the following (feasible and infeasible) solu- tions of the Reddy Mikks model: (a) x, - 1, x, = 4. (b) x - 2, x2 = 2. (c) x, - 3, x - 1.5. (d) x, - 2, x, - 1. (e) x, - 2, x - -1. *3. For the feasible solution x, - 2, xy - 2 of the Reddy Mikks model, determine the un- used amounts of raw materials M1 and M2. 4. Suppose that Reddy Mikks sells its exterior paint to a single wholesaler at a quantity dis count. The profit per ton is $5000 if the contractor buys no more than 2 tons daily and $4500 otherwise. Express the objective function mathematically, Is the resulting function linear?

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keosha answered 1 year ago

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