Posted: February 20th, 2024

Consider the following payoff table in

Use this
information to answer the following 5 related questions:Consider the following payoff table
in which D1 through D4 represent decisions, S1 through S4 represent states of
nature, and the values in the cells represent profits.
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1. Suppose that each state of nature is equally likely to
occur. The expected value of perfect information is:

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2. What is the preferred alternative when using the maximin
criterion:

3. What is the preferred alternative when the decision maker
is optimistic and aggressive:

4. What is the preferred alternative when using decision
maker is pessimistic and conservative:

5. What is the preferred
alternative when using the principle of insufficient reason:

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Use this information to
answer the following 6 related questions:Consider a basic economic order quantity (EOQ) model with the following
characteristics:
Item cost: $15.
Item selling price: $20.
Monthly demand: 500 units
(constant)
Annual holding cost: 9% of
purchase cost
Cost per order: $18.
Order lead time: 5 days
Firm's work year: 300 days (50
weeks @ 6 days per week)
Safety stock: 15% of monthly
demand
6. The optimal order quantity
is:

7. The reorder point is:

8. The cycle time is:

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9. The maximum quantity in
inventory is:

10. Total annual inventory cost
is:

11. Suppose the vendor demands
purchases in multiples of 500 only. What is the increase in total annual
inventory cost that this causes?
Use this information to
answer the following 2 related questions:All-Star Bat Manufacturing, Inc. supplies baseball bats to major and
minor league baseball teams. After an initial order in January, demand over the
6-months baseball season is approximately constant at 1000 bats per month.
Assuming that the bat production process can handle up to 4000 bats per month,
the bat production setup cost is $150 per setup, the production cost is $10 per
bat, and the holding costs are figured at a monthly rate of 2%.
12. What production lot size
would you recommend to meet the demand during the baseball season?

13. All-Star operates 20 days
per month, what is the length of a production run?

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Use this information to
answer the following 4 related questions:James Knott, a manager of an inventory system at FulCal Inc., believes
that inventory models are important decision-making aids. While often using an
EOQ policy, the manager has never considered a backorder model because of the
assumption that backorders were ‘bad’ and should be avoided. However, with
upper management’s continued pressure for cost reduction, you have been asked
to analyze the economics of a backordering policy for some products that can
possibly be backordered. For a specific product with annual demand of 800,
order cost at $150, product cost at $3, a fixed backorder cost at $20 and a
fixed admin cost at $5.
14.
What is the optimal order quantity?
15. What is the optimal number
of backorders?

16. What is the total variable
cost?

17. If he were to bring the
entire order quantity in one shipment, what is the difference in the variable
cost?

18. Assume that FulCal Inc.
opens 250 days per year; if the lead time for the new order is 20 days, what is
the reorder point on the planned shortage model.

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Use this information to
answer the following 4 related questions:The following quantity discount schedule is given:
Order Size Discount Unit Cost
0 to 49 0% $30
50-99 5%
100 or more 10%
19. If the weekly demand is 8
units, ordering costs are $20 per order, and the annual holding cost rate is
20%, what order quantity would you recommend?

20. What is the difference in
total annual cost between the recommended order quantity discount and the
original quantity?

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