# Can someone help me with this math problem for the simplex method?

I and every classmate in my class is having trouble solving this problem. I just need to know what they constraints are so I can solve the problem. He gave us the answer but I've tried everything and I don't get what he gave so I assume my constraints are wrong. This is the problem below.
Solve the...
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I and every classmate in my class is having trouble solving this problem. I just need to know what they constraints are so I can solve the problem. He gave us the answer but I've tried everything and I don't get what he gave so I assume my constraints are wrong. This is the problem below.

Solve the following Linear Programming Problem via the Simplex Method:

A city council is working with a hotel developer to build several hotels along its beach-front. The developer has three prototypes: a convention-style hotel with 500 rooms costing $100 million, a vacation-style hotel with 200 rooms costing $20 million, and a small hotel with 50 rooms costing $4 million. The city council wants a total capacity of at least 3,000 rooms and has three other restrictions:

• at most three convention-style hotels;

• at most twice as many small hotels as vacation-style; and

• at least a fifth as many convention-style hotels as vacation-style and small combined.

How many hotels of each type should the council request in order to minimize cost?

Please help. Best Answer gets 10 points. Thanks.

Solve the following Linear Programming Problem via the Simplex Method:

A city council is working with a hotel developer to build several hotels along its beach-front. The developer has three prototypes: a convention-style hotel with 500 rooms costing $100 million, a vacation-style hotel with 200 rooms costing $20 million, and a small hotel with 50 rooms costing $4 million. The city council wants a total capacity of at least 3,000 rooms and has three other restrictions:

• at most three convention-style hotels;

• at most twice as many small hotels as vacation-style; and

• at least a fifth as many convention-style hotels as vacation-style and small combined.

How many hotels of each type should the council request in order to minimize cost?

Please help. Best Answer gets 10 points. Thanks.

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