The J. Mehta Company's production manager is planning a series of one-month production periods for stainless steel sinks
Posted: Mon Jul 11, 2022 10:30 am
Company's production manager is planning a series of one-month production periods for stainless steel sinks. The forecasted demand for the next four months is as follows: Demand for Stainless Steel Sinks - Month 1 2 3 120 4 160 260 180 The Mehta firm can normally produce 100 stainless steel sinks in a month. This is done during regular production hours at a cost of $95 per sink. If demand in any one month cannot be satisfied by regular production, the production manager has three other choices: (1) he can produce up to 35 more sinks per month in overtime but at a cost of $125 per sink; (2) he can purchase a limited number of sinks from a friendly competitor for resale (the maximum number of outside purchases over the four-month period is 450 sinks, at a cost of $150 each); (3) Or, he can fill the demand from his on-hand inventory (i.e. beginning inventory). The inventory carrying cost is $10 per sink per month (i.e. the cost of holding a sink in inventory at the end of the month is $10 per sink). There are 10 Sinks in Inventory at the beginning of Month 1. Setup the Production Smoothing problem with the goal of minimizing cost.
Regular Production Month 1 = Regular Production Month 2 = 100 Regular Production Month 3 = 100 Regular Production Month 4 = 100 Overtime Production Month 1 = Overtime Production Month 2 = Overtime Production Month 3 = Overtime Production Month 4 = Purchases Month 1 = 0 Purchases Month 2 = 0 Purchases Month 3 = Purchases Month 4: A/ A/ 신 E Z A A
Ending Inventory Month 1 = Ending Inventory Month 2 = Ending Inventory Month 3 = 0 Ending Inventory Month 4 = 0 Minimum Cost: = I A/ (Format
The J. Mehta Regular Production Month 1 = Regular Production Month 2 = 100 Regular Production Month 3 = 100 Regular Production Month 4 = 100 Overtime Production Month 1 = Overtime Production Month 2 = Overtime Production Month 3 = Overtime Production Month 4 = Purchases Month 1 = 0 Purchases Month 2 = 0 Purchases Month 3 = Purchases Month 4: A/ A/ 신 E Z A A
Ending Inventory Month 1 = Ending Inventory Month 2 = Ending Inventory Month 3 = 0 Ending Inventory Month 4 = 0 Minimum Cost: = I A/ (Format