A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adultLong Trail, the adultCityscape, the girl'sSea Sprite, and the boy'sTrail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are $30, $25, $22, and $20. The LP model should maximize profit. There are several conditions that the store needs to worry about. One of these is space to hold the inventory. An adult's bike needs two feet, but a child's bike needs only one foot. The store has 500 feet of space. There are 1200 hours of assembly time available. The child's bike need 4 hours of assembly time; the Long Trail needs 5 hours and the Cityscape needs 6 hours. The store would like to place an order for at least 275 bikes.

a.Formulate a model for this problem.b.Solve your model using Excel Solver.c.How many of each kind of bike should be ordered and what will the profit be?d.Do any constraints have slack?If so, which one(s)? And how much?e.Which resource should the company work to increase, inventory space or assembly time? Why?

1. Solve using Solver.Answer all questions in Excel and then upload your completed Excel file here.