Setting Up Linear Programming Problems
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Section: ______________
Part I
2. x = the number of shares Annika buys in the Bass Co.
y = the number of shares Annika buys in the Forte Co.
3. __maximizing__
4. _____3_______
5. _____3x______
6. _____4_______
7. _____4y______
8. D = ___3x + 4y___
9 a. __10 x; b. __50y__; c. less than or equal to ; d. ___≤____; e.___10x + 50y ≤ 3000____;
10 a. ___≤____; b. ___x + y ≤ 80___________
11 a. ___≤____; b. ___x ≤ 50______________
12. __x ≥ 0____; ___ y ≥ 0____
13.
VARIABLES:
x = the number of shares Annika buys in the Bass Co.
y = the number of shares Annika buys in the Forte Co.
OBJECTIVE: Maximize/Minimize D =___3x + 4y ________
SUBJECT TO: ___10x + 50y ≤ 3000______________
___ x + y ≤ 80_________ ________
____ x ≤ 50_____________________
___x ≥ 0____; ___ y ≥ 0____
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Part II
2. x = the number of one-bedroom apartments
y = the number of two-bedroom apartmetns
C = the total cost to build the one- and two-bedroom apartments
3. ___minimizing_________
4. __67000x_____
5. __81000y_____
6. C = 67000x + 81000y
7 b. __1/2 y ≤ x_______
8 b. __ x ≥ 50____; __ y ≥ 30______
9a. ___4x_____; b. ___8y_____; c. __4x + 8y ≥ 640______
10. x ≥ 0____; ___ y ≥ 0____
11.
VARIABLES: x = the number of one-bedroom apartments
y = the number of two-bedroom apartments
C = the total cost to build the one- and two-bedroom apartments
__OBJECTIVE___: __ minimize____ C = __67000x + 81000y ________
__SUBJECT__ TO : _____1/2 y ≤ x __________________
__ x ≥ 50_______; __ y ≥ 30________
__4x + 8y ≥ 640__________________
Part III
VARIABLES: x = the number of angelfish
y = the number of silverdollar fish
R = the revenue from selling angelfish and silverdollar fish
OBJECTIVE: maximize R = 20x + 16y
SUBJECT TO: 5x + 4y ≤ 240
4x + 8y ≤ 288
x ≥ 0, y ≥ 0
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