What are the values and interpretations of all slacks

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XYZ Bike is a small seller of both regular and mountain bikes. The company makes a profit of $30.00 for each regular bike it sells and $45.00 for each mountain bike sold. Each regular bike requires 1 hour to assemble and 1 hour to tune, while each mountain bike requires 1 hour to assemble and 2 hours to tune. Due to its labor constraint, this company can only supply 40 hours of assembling, and 60 hours of tuning per week. Based on past demand, XYZ Bike needs to sell at least 10 regular bikes and 8 mountain bikes each week. How many regular and mountain bikes should the company sell to maximize profits?

(a) What is the linear programming model for this problem? Define the decision variables clearly. (b) Find the optimal solution by LINDO. (c) What are the values and interpretations of all slacks and surpluses associate with each constraint at the optimal solution? (d) Which constraints are binding at the optimal solution?

Reference no: EM132302429

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