Lunar Co.Ltd's estimated demand for the next 6 months in 2021 is as follows: Month Demand July 1500 August 1700 September 2000 October 1800 November 2200 December 1500 Management considers 2 aggregate plans as follows: a. Perform variations in the number of workers according to the level of demand. The current average production is 1500 units/month. Labor procurement costs $500,000 per 100 units, while the cost of reducing labor is $750,000 per 100 units. b. Keeping production levels constant at an average of 1500 units/month (to meet minimum demand) and to meet demand shortages through subcontracting at a marginal cost of $5,000 per unit. Subcontracting can only be done in a number of 500 units. Demand that cannot be met by production and subcontracting is a loss of sales and calculated at $5,000 per unit.

DAT, Inc., needs to develop an aggregate plan for its product line. Relevant data are                                                                               Management prefers to keep a constant workforce and production level, absorbingvariations in demand through inventory excesses and shortages. Demand not met is carriedover to the following month.Develop an aggregate plan that will meet the demand and other conditions of theproblem. Do not try to i nd the optimum; just i nd a good solution and state the procedureyou might use to test for a better solution. Make any necessary assumptions.

LMNO Gaskets has formulated a production plan for a product to meet demand over the upcoming four quarters. Demand in each of the four quarters and production, overtime, and subcontracting capacities are reported in the table below, in addition to the feasible production plan. The relevant costs are: • Regular time production cost is $10/unit. Overtime production cost is $14/unit. Subcontracting cost is $18/unit Inventory is held at a cost of $1/unit/quarter. • Units may be backordered at a cost of $4/unit/quarter. Production Resource Regular Time Q1 Overtime Q1 Subcontract Q1 Regular Time Q2 Overtime Q2 Subcontract Q2 Regular Time Q3 Overtime Q3 Subcontract Q3 Demand in Quarter Demand in Quarter Q2 0 20 0 550 Q1 550 230 0 0 0 0 40 40 0 860 250 470 0 40 0 1330 What is the inventory cost for the year? What is the backorder cost for the year? What is the total cost for the year? Q3 0 0 0 0 0 30 510 160 0 700 What is the total overtime production cost for the year? Capacity 550 250 500…

5. Formulate a level sales and operations plan for a company with the following predicted demand: Month Demand 6,300 2 9,000 3 6,000 4 9,000 5 15,000 6 6,000 Total 51,300 The beginning workforce is 125 employees. The monthly output per employee is 150 units. The costs to hire and lay off a worker are $2,500 and $4,000, respectively. The cost to carry an item in inventory for one month is estimated at $10, and the stockout cost is $25 per unit. Show the production schedule, the inventory levels, and the changes in workforce from period to period. Compute the plan's cost.