Friday, February 22, 2013

Specimen

Time Allowed: Two hoursSPECIMEN VERSION

Answer ALL 4 Questions. There be equal marks for all Questions

You are allowed to use any books, notes etc. that you press provided they are in paper form.

You may NOT refer to any materials in electronic form. e.g. laptops, memory sticks, Blackboard site.
.

Question 1

A motorcar dealer has 5 cars to sell and 5 prospective buyers. The buyers, who wish to buy ONE and ONLY ONE car for each one, pass water put in bids (in £s) for each of the 5 cars available. These are shown in the table below.

| |Car |
|Purchaser |A |B |C |D |E |
|P |6500 |5500 |6800 |5700 |6700 |
|Q |7500 |6500 |6100 |6100 |7100 |
|R |6100 |6300 |8300 |5100 |7700 |
|S |7100 |6700 |7300 |6300 |7500 |
|T |6100 |7500 |7700 |6500 |6500 |

The dealer wishes to maximise the boilers suit income from the sale of the 5 vehicles. moderate which bids should be accepted in order to do this. What is the overall maximum income?

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Question 2

The table below shows the cost of transporting a truck load of material from each of 3 depots to each of 3 customers

| | |Customer | |
|Depot |X |Y |Z |
|P |4 |8 |9 |
|Q |16 |24 |16 |
|R |8 |16 |24 |

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