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A self-employed carpenter earns $90 for the sale of a table, T, and $180 for the sale of a rocking chair, C. It takes 2 hours for him to make a table and 5 hours to manufacture each rocking chair. He is limited to working at most 40 hours per week. The average manufacturing cost to the carpenter is $15 per table and $45 for every rocking chair. He wishes to keep his manufacturing costs to no more than $315 per week. Given these various constraints, he wishes to maximize his revenue, R. a) In each blank box below, select the best answer from the list that helps complete the objective function and its associated constraint inequalities. Please note that the option = indicates 2. R = [Select] v C+ [Select] v T 5C+ [Select] v T [Select] v 40 [Select] v C +15T [Select] v 315 b) Use the geometric approach (with C placed on the x-axis and T on the y-axis) to determine the coordinates of the corner points of the solution region. Then, select the answer from this list: [ Select ] v c) Which of the feasible corner points you selected in part (b) above maximizes the objective function? Note that a feasible corner point is any corner point with at least one non-zero coordinate. Select the answer from this list: [53'5\"] " cl) What is the maximum revenue? [Select] "