A small bookstore on Gran Via, one of the main arteries through Madrid and a famous shopping street, has come up with the idea of delivering books to visitors to Madrid who stay in local hotels. Given the central location of the bookstore, the books would be delivered to tourists staying in nearby hotels within less than

$3$

$0$

$$minutes$.$

The idea for the delivery service originally came from five MBA students at IE Business School who conducted a market study into the potential need for such a service. From personal experience, the students knew that it is easy to forget one

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s current book at home while travelling. The five MBA students spent last summer interviewing local tourists about the desirability of such a service. Manuel Mu

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$$the bookstore owner, sponsored this market study with

$$

$1$

$,$

$2$

$5$

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$.$

$$The market study also revealed that Amazon were planning to set up a similar delivery service in central Madrid. Due to various administrative delays, Amazon would only be able to start its delivery service in exactly

$3$

$$years from now. It would then immediately price Manuel

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s bookstore out of the market.

The bookstore would need to buy two electric bicycles for the delivery people at a price of

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$1$

$,$

$5$

$0$

$0$

$$each$.$ The two bicycles would be fully depreciated in a straight line over the three years. They could be sold for

$$

$4$

$0$

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$$each at the end of the project. The bookstore would also need to use an empty room at the back of the store as a storeroom. If the bookstore were not to go ahead with the delivery service, the empty room could be rented out at a monthly rent of

$$

$2$

$,$

$0$

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$.$

$$The storage room would require heavy

$-$

duty metal shelves at a total cost of

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$4$

$,$

$0$

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$.$

$$

If going ahead, Manuel wants to advertise the new delivery service by distributing leaflets to nearby hotels. He has been quoted a fee of

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$1$

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$,$

$0$

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$$for the design of various promotional items and another

$$

$3$

$,$

$2$

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$$for the printing of sufficient leaflets and other promotional items

$($

such as free cupholders

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$$to last for the next three years.

The two delivery people needed for the delivery service would be paid

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$6$

$,$

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a

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$$However$,$ Manuel expects to relocate an existing employee who already works for the bookstore to the delivery service. This employee currently earns

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The new delivery service would generate sales of

$7$

$5$

$0$

$$books$,$

$1$

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$0$

$0$

$0$

$$books and

$1$

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$2$

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$$books each month during the first year, the second year and the third year, respectively. The average sales price of the books would be

$$

$2$

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$.$

$$The cost of the books sold is

$7$

$5$

$\%$

$$of their sales price to the customers. Manuel expects that the number of books sold instore would drop by

$2$

$5$

$\%$

$$of the number of books sold via the delivery service. The average sales price per book for the eroded sales is