# invent question Essay

1. Sam’s cat hotel operate 52 weeks/yr, 6 days/week , and uses a continuous review

inventory system. It purchases kitty litter for $11.70 per bag. The following information

is available about these bags.

Demand = 90 bags/week

Order cost = $54/order

Annual holding cost = 27 %of cost

Desired cycle-service level = 80%

Lead time = 3 weeks (18 working days)

Standard deviation of weekly demand = 15 bags

Current On-hand inventory is 320 bags, with no open order or backorders.

a.

b.

c.

d.

What is the EOQ? What would be the average time between orders (in weeks)?

What should Reorder point be?

An inventory withdrawal of 10 bags was just made. Is it time to reorder?

The store current uses a lot size of 500 bags.

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b. What should the reorder level be to achieve an average of 1 stockout in 10 years

(assume that demand is normally distributed)

c. How much safety stock is included in your answer to (b) above?

d. How much reduction would there be in safety stock if the average lead time were

reduced by 50%?

e. How much reduction would there be in safety stock if the forecast error (MAD)

were reduced by 50%?

f. What significance do the answers to (e) and (d) have for a manager?

4. Dallas allows an employee to put an amount into an account at the beginning of each

year, to be used for child-care expenses. This amount is not subject to federal income tax.

Assume that all other income is taxed by the federal government at a 40% rate. If this

amount can only be used for childcare expenses. If the amount is more than the childcare

expenses, the difference is lost. If the childcare expenses are more than the amount, the

employee must pay for the excess out of his/her own pocket. This excess payment can be

claimed in an income tax return to receive tax credit at the rate of 25% of the excess

payment. Prof. Cakanyıdeım believes that his childcare expenses for his son for the

coming year will be $3000, $4000, $5000, $6000, or $7000 with equal probabilities. At

the beginning of the year, how much money should he place in the child-care account?

5. Neptune…