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Consider the following classical inventory problem. A retailer must decide the quantity Q to order periodically to minimize expected annual cost. The retailer faces demand of D units per year and every order that is placed incurs an order processing fee of K dollars and a unit purchase cost of c dollars. It is easily seen that the average inventory is Q/2 on which an inventory carrying cost of h dollars/unit/year is charged. The total annual cost function, T(Q) may be expressed as:
T(Q) = K·D/Q +h·Q/2 + c·D
a) Write an expression for the number of orders placed per year?
b) Write an expression for the time between orders?
c) Determine a formula for the optimal order quantity that minimizes costs.
d) What would be the formula for the optimal order quantity if the term h·Q/2 in T(Q) were replaced by h·Qm/2, where m is a positive integer.
Industry X is perfectly competitive and each firm produces output with a technology Q = C ½ L ½, where C is coal and L is labor. The demand for industry X's output is Q = 10,000 - 2P, and the firms in industry X can purchase coal at a cost
(a) How many people participate in the study (b) Calculate the Relative Frequency and enter the results in the above table. (c) Calculate the Midpoint for each class and enter the results in the above table. (d) Calculate the Cumulative Frequency and..
Suppose you are an analyst for the Coca-Cola company. An individual's inverse demand for Coca-Cola is estimated to be P = 98 - 4Q (in cents). If Coca-Cola is produced according to the following cost function TC = 1,000 + 2Q (in cents)
A company decides to offer an average annual raise of 8%, although the current inflation rate is 10%. Each engineering manager decides on the best way to distribute the salary increase to his/her staff. However, if everyone gets an increase of 8%
price:1.75, 2.00, 3.00, 4.50, 5.00, 5.50. quantity: 55, 110, 165. mc=5.00/165, 3.00/110, 1.75/55. atc=5.00/165, 5.50/55. avc=2.00/55. demand=1.75/55. mr=2.00/55. How many DVDs should be sold to rent per day to maximize profit
Suppose the Lexington mayor caps the amount police can ne speeding motorists at $500. The police vow to step up enforcement in order to cintinue to deter speeding. How high must the probability of being caught speeding.
Alex is willing to pay $10, and Bella is willing to pay $8, for 1 pound of ribeye steak. When the price of ribeye steak increases from $9 to $11, Answer Alex experiences a decrease in consumer surplus, but Bella does not.
ASB2505-3505 - Comparative Banking Review the theoretical relationships between market structure and bank performance and explain what is meant by market power and how it affects bank performance.
Suppose the marginal benefit of writing a contract is $100, independent of its length. Find the optimal contract length when the marginal cost of writing a contract of length L is: a. MC(L) = 30 + 4L. b. MC(L) = 40 + 5L.
the exchange rate between US-dollar and the euro is exactly 2 $/euro. At that time, a one-year US treasury bill yield an interest rate of 5%, while a similar German treasury bill yield 3%. Inflation during the year is expected to be 3% in the USA ..
A corporate bond has a face value of $10,000 with a bond rate of 10%. The interest of the bond will be paid quarterly. The bond will mature in 10 years. If the bond is sold at $8,500 on the market, what is the yield (return) on the bond
You are the manager of a pizza parlor that produces at a marginal cost of $6 per pizza. The parlor is a local monopoly near campus (there are no other restaurants or food stores within 50 miles). During the day, only students eat at your restauran..
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