篩選結(jié)果 共找出21題

A company makes two products, X and Y, with the same machines and the same direct labour?workforce. The following information is available for the next budget period.?



During the period there will be a maximum of 20,000 machine hours and 48,000 direct labour?hours available, and these resources could be limiting factors on output and sales. If linear?programming is used to determine the optimum production quantities of Product X and Product Y,?which one of the following would be a constraint in the linear programming model??

A

?0.3x + 0.2y ≤ 48,000?

B

0.5x + 0.2y ≤ 20,000?

C

?0.6x + 0.3y ≤ 20,000?

D

?0.6x + 0.5y ≤ 48,000?

A company manufactures three products using different amounts of the same grade of labour,?which is in short supply. The following budgeted data relates to the products:?



What order should the products be manufactured in to ensure that profit is maximised???

A

?P1? 2nd? ? ? ? ?P2? 1st? ? ? ? P3? 3rd

B

?P1? 2nd? ? ? ? ?P2? 3rd? ? ? ? P3? 1st

C

?P1? 1st? ? ? ? ?P2? 3rd? ? ? ? P3? 2nd

D

?P1? 1st? ? ? ? ?P2? ?2nd?? ? ? P3? 3rd

?ABC Co makes three products, budget information is provided below.?



Material A is in short supply and ABC Co only have 10,000 kgs available. Material A costs $10 per?kg.?

What is the optimum production plan for ABC Co??

A

?1000 As, 0 Bs and 2,975 Cs?

B

?0 As, 2,000 Bs and 3,000 Cs?

C

?1,000 As, 2,000 Bs and 500 Cs?

D

?1,000 As, 2,000 Bs and 3,000 Cs?

TW manufactures two products, the D and the E, using the same material for each. Annual demand for?the D is 9,000 units, while demand for the E is 12,000 units. The variable production cost per unit of the?D is $10, that of the E $15. The D requires 3.5 kg of raw material per unit, the E requires 8 kg of raw?material per unit. Supply of raw material will be limited to 87,500 kg during the year.?

A subcontractor has quoted prices of $17 per unit for the D and $25 per unit for the E to supply the?product. How many of each product should TW manufacture in order to maximise profits??

Required?

Fill in the blanks in the sentence below.?

TW should manufacture ........... units of D and .............. units of E to maximise profits.?

What are the constraints in the situation facing WX Co??

How can the constraint facing the Shaping Department be written as an inequality??

?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.?