Question

For the next 3 questions, suppose one wants to formulate a linear programming problem for a gasoline company that produces three types of gasoline using the following variables: A = gallons of regular gasoline produced each week, B = gallons of midgrade gasoline produced each week, C = gallons of premium gasoline produced each week, 5.11 Which constraint says \"They must produce at least 50,000 gallons of the regular and premium grade gasoline combined\": a) $A + B \ge 50,000$ b) $A + B \le 50,000$ c) $A + C \ge 50,000$ d) $A + B + C \ge 50,000$ e) none of the above. 5.12 Which constraint says \"The total gallons of premium gasoline produced each week cannot be less than the total gallons of regular gasoline produced each week\": a) $C \le A$ b) $A \le C$ c) $C \ge A + B + C$ d) none of the above. 5.13 Which constraint says \"At most half of the total amount of gasoline produced each week can be regular gasoline\": a) $A \le 0.5(B + C + D)$ b) $A \le 0.5(A + B + C + D)$ c) $A \ge 0.5(B + C + D)$ d) $A \ge 0.5(A + B + C + D)$ e) none of the above.

          For the next 3 questions, suppose one wants to formulate a linear programming problem for a
gasoline company that produces three types of gasoline using the following variables:
A = gallons of regular gasoline produced each week,
B = gallons of midgrade gasoline produced each week,
C = gallons of premium gasoline produced each week,
5.11 Which constraint says \"They must produce at least 50,000 gallons of the regular and
premium grade gasoline combined\":
a) $A + B \ge 50,000$
b) $A + B \le 50,000$
c) $A + C \ge 50,000$
d) $A + B + C \ge 50,000$
e) none of the above.
5.12 Which constraint says \"The total gallons of premium gasoline produced each week cannot
be less than the total gallons of regular gasoline produced each week\":
a) $C \le A$
b) $A \le C$
c) $C \ge A + B + C$
d) none of the above.
5.13 Which constraint says \"At most half of the total amount of gasoline produced each week
can be regular gasoline\":
a) $A \le 0.5*(B + C + D)$
b) $A \le 0.5*(A + B + C + D)$
c) $A \ge 0.5*(B + C + D)$
d) $A \ge 0.5*(A + B + C + D)$
e) none of the above.

For the next 3 questions, suppose one wants to formulate a linear programming problem for a
gasoline company that produces three types of gasoline using the following variables:
A = gallons of regular gasoline produced each week,
B = gallons of midgrade gasoline produced each week,
C = gallons of premium gasoline produced each week,
5.11 Which constraint says T̈hey must produce at least 50,000 gallons of the regular and
premium grade gasoline combined:̈
a) A + B ≥ 50,000
b) A + B ≤ 50,000
c) A + C ≥ 50,000
d) A + B + C ≥ 50,000
e) none of the above.
5.12 Which constraint says T̈he total gallons of premium gasoline produced each week cannot
be less than the total gallons of regular gasoline produced each week:̈
a) C ≤ A
b) A ≤ C
c) C ≥ A + B + C
d) none of the above.
5.13 Which constraint says Ät most half of the total amount of gasoline produced each week
can be regular gasoline:̈
a) A ≤ 0.5*(B + C + D)
b) A ≤ 0.5*(A + B + C + D)
c) A ≥ 0.5*(B + C + D)
d) A ≥ 0.5*(A + B + C + D)
e) none of the above.

Added by Lori L.

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