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# Math: Inventory ?

A store sells two models of laptop

computers. The store stocks at least twice as many units of model A as of model B. The costs to the store for the two models are $800 and $1200, respectively. The management does not want more than $20,000 in computer inventory at any one time, and it wants at least four model A laptop computers and two model B laptop computers in inventory at all times. Write and

graph a system of inequalities that describes all possible inventory levels.

### 1 Answer

- anonymousLv 74 weeks agoFavorite Answer
Let x be the number of units of model A in inventory

Let y be the number of units of model B in inventory

The info in the question leads to four inequalities:

x ≥ 2y ….. 'store stocks at least twice as many units of model A as of model B'

800x + 1200y ≤ 20,000

x ≥ 4

y ≥ 2

Graph:

https://www.desmos.com/calculator/mkye9or6ex

The central triangular region where all the inequality graphs overlap is the solution set.