l Sprint LTE 12:04 PM texsu.blackboard.com Do not snare your work wiun anotner student. 1. The Grand Valley Company, run by the J. Motwani family, produces two products: bed mattresses and box springs. A prior contract requires that the firm produce at least 30 mattresses or box springs, in any combination, per week. In addition, union labor agreements demand that stitching machines be kept running at least 40 hours per week, which is one production period. The firm plans to purchaselFoitr nachinesl Each box s of stitching time, whileeach mattress takes 1 hour on the machine. The firm believes that it can sell at least twice as much mattresses as box springs. Each mattress produced cost $20 and each box spring costs $24. Formulate this problem as a linear programming problem. spring takes 2 hours Let XI-Mattresses X2= Box Springs Minimize C-20X1+24X2 Objective Function: Subject to XI+X2>-30 X1+2x2-160 2X1-X2-0 and X1, X1>-0 2. Consider the problem: Minimize C= 20X1+ 10X2 Subject to: X1+3X2290 8X1 +2X2리 60 3X1+4X22200 X2350 and X1,X2-0