Set up but do not solve the Linear Programming problem that would solve the following A city council is planning to build several hotels along its beach front They will be of two types convention style, each with 200 rooms and each costing $75 million to build, and vacation style, each with 50 rooms and each costing $40 million The city council wants to build At least 15 hotels altogether without exceeding its budget of $725 million With at least two thirds of the money it spends going to vacation style hotels and producing at most three fourths as many convention style hotel rooms as vacation style How many hotels of each type should the council build in order to maximize the total number of hotel rooms

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Question: Set up but do not solve the Linear Programming problem that would solve the following: A city council is planning to build several hotels along

Set up but do not solve the Linear Programming problem that would solve the following:

A city council is planning to build several hotels along its beach-front. They will be of two types: convention-style, each with 200 rooms and each costing $75 million to build, and vacation-style, each with 50 rooms and each costing $40 million.

The city council wants to build . . .

At least 15 hotels altogether;
without exceeding its budget of $725 million;
With at least two-thirds of the money it spends going to vacation-style hotels; and
producing at most three-fourths as many convention-style hotel rooms as vacation-style.

How many hotels of each type should the council build in order to maximize the total number of hotel rooms?

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