A manufacturer of office furniture makes conference tables in two styles Premier and Executive. Each style is available in either walnut or cak Matching chairs are also manufactured in both styles, in either walnut or oak. The material and labor requirements for each product are given below Assume there is no distinction between walnut and oak in these requirements. Premier Executive Premier Executive Table Table Chair Chair Wood (sq ft) 100 140 16 20 Labor (hrs) 9 12 4 5 The selling prices for each product are given below. Premier Executive Premier Executive Table Table Chair Chair Walnut $1200 $1500 $200 $250 Oak 1000 1200 180 220 Furniture-grade walnut costs $5 per square foot, and oak costs $4. Labor costs $18 per hour. Only 3000 hours of labor are available per week. Develop a linear optimization model to determine the most profitable weekly production schedule. (Hint: There are eight different products: two walnut tables, two oak tables, two walnut chairs, and two oak chairs. Let x, be the number of units of the ith product manufactured per week, where i=1, 2,..., 8.) Solve the problem using Excel's Solver feature. Solve Prob. 11.14 with the additional restriction that at least four matching chairs must be manufactured for each table (ie., at least four Premier walnut chairs for each Premier walnut table, etc.). Solve Prob. 11.15 with the additional restriction that walnut cannot be obtained in quantities exceeding 10,000 sq ft per week