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

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  • 1 month ago
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    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.

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