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. Wood (sq ft) Labor (hrs) Premier Executive Premier Table Table Chair Walnut Oak 100 9 The selling prices for each product are given below. Premier Table 140 12 $1200 1000 Executive Table 16 4 $1500 1200 Premier Chair $200 180 Executive Chair 20 5 Executive Chair $250 220 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.