a. Maximizep=2x+4y+2z+4w+2vsubject to

x+y?1y+z?1z+w?3w+v?4

x?0,y?0,z?0,w?0,v?0.

p=

(x,y,z,w,v)=

b.You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than1050of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts5units each, and you can spare at most1,700units of shelf space for the texts. If the used book program makes a profit of$10on each calculus text,$4on each history text, and$8on each marketing text, how many of each type of text should you purchase to maximize profit?

calculus text(s)

history text(s)

marketing text(s)

What is the maximum profit the program can make in a semester?

4. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Maximize p = 2x + 4y + 2z + 4w + 2v subject to $ 1 25 1 W S 3 wtv =4 x 20, y 2 0, 2 2 0, w 2 0, v 20. p = (x , y, Z, W, V) = Need Help? Read It Watch it 5. [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 1050 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,700 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester? Need Help? Read It