4) With the start of school approaching, Staples is planning on having a sale on school materials. They have 600 notebooks, 500 folders, and 400 pens in stock. They plan on making two different packages. The first package, there will be 2 notebooks, 1 folder, and 2 pens. In the second package, there will be 3 notebooks, 1 folder, and 1 pen. The price for the first package will be $6.50 and the second package will be $7.00. How many of each type of package should they put together to obtain the maximum profit?

5+2x=a

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the radius is 2 times the diameter.

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true