Georgia knits mittens and hats. A pair of mittens requires 1.5 hours to knit, uses $3 worth of supplies, and earns $12 of profit. A hat requires 1 hour to knit, uses $5 worth of supplies, and earns $8 of profit. Georgia has at most 30 hours available for knitting this week, and she has at most $105 available for supplies. Determine how many of each item she should knit this week in order for her profit to be as large as possible. What is the maximum weekly profit? а. Define the variables. b. Write the objective function. С. Write the constraints. d. Graph the feasible region, leaving the feasible region unshaded. е. Determine if the feasible region is bounded or unbounded. f. Find the corner points of the feasible region. g. Give the optimal solution. h. Give the optimal value of the objective function.

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