a very large sports store is placing an order of bicycles with its suppliers. Four models can be ordered, the adult open trail, the adult cityspace, and the girls sea sprite, and boys trailblazer. it is assumed that every bike ordered will be sold and their profits respectively are 30, 25,22, and 20. LP should maximize profit. There are several conditions the store needs, one of these is to store inventory. an adult bike needs 2 feet but a child 1 ft. The store has 500 ft of space. There are 1200 hrs of assembly time available. The childs bike needs 4 hrs of assembly time, opentrail needs 5 hrs, and cityspace needs 6 hrs. the store would like to place an order of 275 bikes. LP is given: x1 no of adult open trail bikes ordered, x2 no of adult city space, x3 no of girls sea sprite ordered, x4 no of boys trail bike max 30 x1 +25 , x2 + 22, x3+ 20, x4 2 x1 +2 , x2 +x3 +x4 < 500 storage space 5, x1+6 , x2 + 4, x3 + 4, ,x4 < 1200 assembly time, x1 + x2 +x 3+x4 > 275 sales order x1, x2, x3, x4 > 0

1. generate sensitivity report on excel with formulas

2. how many of each kind of bike should be ordered and what will be the profit?

3. which resource shudl the company work to increase storage space or assembly line?