# KING MANUFACTURING King Manufacturing makes a variety of *

June 12, 2016

Question
KING MANUFACTURING

King Manufacturing makes a variety of household appliances at a single manufacturing facility. The expected demand for one of these appliances during the next six months is shown in Table 1 along with the expected production costs (per unit) and the expected capacity available for this item.

Table 1. Demand, production costs and production capacities by month

Month

Jan

Feb

Mar

Apr

May

Jun

Demand

530

680

390

660

440

700

Production Cost

\$49.00

\$45.00

\$46.00

\$47.00

\$48.75

\$48.25

Production Capacity

600

625

550

650

675

625

King estimates that the cost of holding inventory is \$2.50 per unit per month (calculated based on average monthly inventory, i.e., the average of beginning inventory and ending inventory). King estimates that it will begin January with 180 units in inventory and wants to maintain a minimum safety stock inventory of 100 units at the end of each month. For considerations of workforce stability, King will require a minimum production level of 500 units each month.

Create a Solver-based spreadsheet model to determine the number of units to be produced each month in order to cover demand at the minimum total cost (production plus inventory holding) and solve the model.