Using Cplex and utilizing the TUPLE, solve the following: 1. Toolco has contracted with Automate to supply their automotive discount stores with wrenches and chisels. AutoMate's weekly demand consists of at least 1500 wrenches and 1200 chisels. Toolco cannot produce all the requested units with its present one-shift ca- pacity and must use overtime and possibly subcontract with other tool shops. The result is an increase in the production cost per unit, as shown in the following table. Market de- mand restricts the ratio of chisels to wrenches to at least 2:1. Tool Production type Weekly production range (units) Unit cost ($) Wrenches Regular Overtime Subcontracting Regular Overtime Subcontracting 0-550 551-800 801-00 0-620 621-900 901-00 2.00 2.80 3.00 2.10 3.20 4.20 Chisel (a) Formulate the problem as a linear program, and determine the optimum production schedule for each tool