To sell 300 notebook and 120 pens quickly, a store decided to create two types of gift sets. One set is to include 2 notebooks and 1 pen, and the other will consist of 1 pen and 3 notebooks. First set will be sold for $8. While the second one is to cost $11.50. It is unprofitable for the store to sell less than 20 of any gift set. How many gift sets of each type does store need to sell to obtain the biggest possible income?

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

17.08

correct me if i am wrong.