Problem
A manufacturer of lightweight mountain tents makes a standard model and an expedition model for national distribution. Each standard tent requires I labor hour from the cutting department and 5 lab hours from the assembly department. Each expedition tent requires 2 labor hours from the cutting department and 6 labor hours from the assembly department. The maximum labor hours available per day in the cutting department and the assembly department are 32 and 84, respectively. If the company makes a profit of $70 on each standard tent and $90 on each expedition tent, how many tents of each type should be manufactured each day to maximize the total daily profit (assuming that all tents can be sold)? What is the maximum profit? Write the following linear programming problem using slack variables. Write the initial simplex tableau.