Matched Problem 1 A manufacturing plant makes two types of inflatable boats a two-person boat and a four-person boat. Ea

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Matched Problem 1 A Manufacturing Plant Makes Two Types Of Inflatable Boats A Two Person Boat And A Four Person Boat Ea 1 (191.6 KiB) Viewed 60 times

Matched Problem 1 A manufacturing plant makes two types of inflatable boats a two-person boat and a four-person boat. Each two-person boat requires 0.9 labor-hour from the cutting department and 0.8 labor-hour from the assembly department. Each four-person boat requires 1.8 labor-hours from the cutting de- partment and 1.2 labor-hours from the assembly department. The maximum labor- hours available per month in the cutting department and the assembly department are 864 and 672, respectively. The company makes a profit of $25 on each two- person boat and $40 on each four-person boat. (A) Identify the decision variables. (B) Summarize the relevant material in a table similar to Table 1 in Example 1. (C) Write the objective function P. (D) Write the problem constraints and nonnegative constraints. = $21,600. (E) Graph the feasible region. Include graphs of the objective function for P= $5,000, P $10,000, P= $15,000, and P (F) From the graph and constant-profit lines, determine how many boats should be manufactured each month to maximize the profit. What is the maximum profit? -