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:

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(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 at least 3.

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(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.

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(e) The proportion of interior paint to the total production of both interior and exterior paints must not exceed .5.