2.95 points Layton Machining Company (LMC) manufactures two versions of a basic machie tool. One version is a standard model and one is a custom model, which requires some additional work and sightly higher-grade materials. The manufacturing process at LMC requires that each product go through two departments, Grinding and Finishing. The prooess in each department uses a single type of machine, Total machine capacity in Grinding is 72,000 hours, and in Finishing, total machine capacity is 52,500 hours. (Each department has multiple machines.) Total market demand is limited to 144,000 standard units and 164,000 custom units monthly. LMC is currently producing 134,000 standard units and 97,000 custom units each month. Cost and machine-usage data for the two products fallowr Price Less variable costs per unit S 6.30 S 8.30 2.20 1.75 2.7 1.60 Matcnal Lator 1.7D 1.50 Overhesd 5 1.10 S contributio Fixed costs n margin per unit $81 00 42,000 $123,000 Manutacturing Marketin and adrirnistrative 0 2 0.1 0.3 0.4 Ginding machine hours per unit Finishing rmachine hours per ui Grinding machine hours used Gnnding machine hours available Finishing machine hours used Finishing machine hours available Quantty produced Maximum demand Profit 55.900 52,200 gr n 52,500 134 DDD 144,000 $179,600 164,000 Required: a. What is the optimal production schedule for LMC? In other words, how many standard units and custom units should the company produce each month to maximize monthly profit? Standard units Customi units