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Question 17 (25 points) A solar-powered mini-car manufacturer produces two types of mini-cars: a large model and a small model. Each unit sold of the large model earns a profit of $3,000 and each unit of the small model earns a profit of $1,000. The company faces the following constraints during the current production period: - Each large model requires 30 hours of assembly work and each small model requires 10 hours of assembly work. There are 3000 hours of assembly time available. - Each large model requires 10 hours of testing work and each small model also requires 10 hours of testing work. There are 2000 hours of testing time available. - The quantity built for the small model must be equal or greater than that for the large model. (a) Formulate the problem's objective function and constraints. (b) Graphically represent the constraints and define the location of the feasible region. (c) Find the optimal solution using the corner point method