A store has requested a manufacturer to produce pants and sports jackets. For materials, the manufacturer has 750 m ^2 of cotton textile and 1000 m^2 of polyester. Every pair of pants (1 unit) needs 1 m^2 of cotton and 2 m ^2 of polyester. Every jacket needs 1.5 m ^2 of cotton and 1 m^2 of polyester. The price of the pants is fixed at $50 and the jacket, $40. What is the number of pants and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale? Identify and then write the constraints of the above problem.
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