Provide an appropriate response.A store sells two types of calculators. In order to cover overhead, it must sell at least 40 calculators total per week, and in order to satisfy distribution requirements, it must sell at least twice as many of type II as type I. Write a system of inequalities to describe the situation. Let x be the number of type I that it sells in a week and y be the number of type II that it sells in a week. Find the region described by the system of linear inequalities.

What will be an ideal response?


x ? 0, y ? 0, x + y ? 40, 2x ? y; The region consists of points on or above the x-axis and on or to the right of the y-axis. In addition, the points must be on or above the line x + y = 40 and on or above the line 2x = y.

Mathematics

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