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?Fill in the blanks.?

The shadow price of a scarce resource indicates the amount by which contribution would?...............? if an organisation were deprived of one unit of the resource. The shadow?price only applies while the extra unit of resource can be obtained at its .................? cost.?

?KP makes 2 products, the K and the P.??

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? K? ? ? ? ? ? ? ? ? ? ? ? P??

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? $? ? ? ? ? ? ? ? ? ? ? ? ?$?

Selling price? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 160? ? ? ? ? ? ? ? ? ? 98?

Mat C? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?20? ? ? ? ? ? ? ? ? ? ? 0?

Mat D? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?20? ? ? ? ? ? ? ? ? ? 20?

Labour? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ?60? ? ? ? ? ? ? ? ? ? ?40?

Fixed costs per unit? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 15? ? ? ? ? ? ? ? ? ? ?10?

Labour is in short supply and KP have only 21,000 hours available per month. Labour is paid $20?per hour.?

What is the maximum contribution they can earn in the month??

材料全屏

RAB Consulting specialises in two types of consultancy project.

?? Each type A project requires 20 hours of work from qualified researchers and 8 hours of work from?junior researchers.

?? Each type B project requires 12 hours of work from qualified researchers and 15 hours of work?from junior researchers.?

Researchers are paid on an hourly basis at the following rates.?

Qualified researchers? ? ? ? ? ? ? ? ? ? ? ? ? ? ? $30/hour?

Junior researchers? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?$14/hour?

Other data relating to the projects:?

Project type??

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?A? ? ? ? ? ? ? ? ? ? ? ? ?B??

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?$? ? ? ? ? ? ? ? ? ? ? ? ?$?

Revenue per project? ? ? ? ? ? ? ? ? ? 1,700? ? ? ? ? ? ? ? 1,500?

Direct project expenses? ? ? ? ? ? ? ? ?408? ? ? ? ? ? ? ? ? ? 310?

Administration*? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?280? ? ? ? ? ? ? ? ? ?270

?* Administration costs are attributed to projects using a rate per project hour. Total administration costs?are $28,000 per four-week period.?

During the four-week period ending on 30 June 20X0, owing to holidays and other staffing difficulties the?number of working hours available are:?

Qualified researchers? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1,344?

Junior researchers? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??1,120?

An agreement has already been made for 20 type A projects with XYZ group. RAB Consulting must start?and complete these projects in the four-week period ending 30 June 20X0.?

A maximum of 60 type B projects may be undertaken during the four-week period ending 30 June 20X0.?

RAB Consulting is preparing its detailed budget for the four-week period ending 30 June 20X0 and needs?to identify the most profitable use of the resources it has available.?

19

【論述題】

Calculate the contribution from each type of project.?

Determine the optimal production plan for the four-week period ending 30 June 20X0, assuming?that RAB is seeking to maximise the profit earned. You should use a linear programming graph,?identify the feasible region and the optimal point and accurately calculate the maximum profit that?could be earned using whichever equations you need.?

?Explain the meaning of a shadow price and calculate the shadow price of qualified researcher time.?

Which of the following conditions must be true for a price discrimination policy to be?sensible??

A

?Buying power of customers must be similar in both market segments?

B

?Goods must not be able to move freely between market segments?

C

?Goods must be able to move freely between market segments?

D

?The demand curves in each market must be the same?

?A product has a prime cost of $12, variable overheads of $3 per unit and fixed overheads of?$6 per unit.?

Which pricing policy gives the highest price??

A

?Prime cost + 80%?

B

?Marginal cost + 60%?

C

?TAC + 20%?

D

Net margin of 14% on selling price?

?If the demand for a product is 5,000 units when the price is $400 and 6,000 units when?price is $380, what is the optimal price to be charged in order to maximise profit if the?variable cost of the product is $200??

A

?$150?

B

?$200?

C

?$350?

D

?$700?

The following price and demand combinations have been given:?

P1 = 400, Q1 = 5,000?

P2 = 380, Q2 = 5,500?

The variable cost is a constant $80 per unit and fixed costs are $600,000 pa.??

What is the demand function??

A

?P = 200 – 0.04Q?

B

?P = 600 – 0.04Q?

C

?P = 600 + 0.04Q?

D

?P = 200 – 20Q?

?If F Co choose to prioritise the manufacture of Product A, calculate the value (in $) of the maximum?net profit using throughput analysis.?