Write the constraint described by each of the following statements. Variable ter
ID: 433668 • Letter: W
Question
Write the constraint described by each of the following statements. Variable terms should all be on the left side of the constraint followed by the correct inequality or equality symbol and the right side should be a numeric value. I recommend using the equation writer in Word under the Insert tab. To receive full credit the constraint should be written with variables on the left hand side and a single numeric value on the right hand side (example: 4x1 - 3x2 =< 0 ) (10 points)
The total production of A and B must be at least 80 units. (2 points)
The quantity of Y must be at least five times as large as one-third the quantity of Z. (2 points)
The ratio of x1 to x2 can be no more than the ratio of 5 to 7. (2 points)
The quantity of M must be at least one-third as large as the sum of P and Q. (2 points)
The production of D must be at least 2 more than three times the production of C. (2 points)
Explanation / Answer
The constraints representing the given conditions are following:
The total production of A and B must be at least 80 units. (2 points)
A + B >= 80
The quantity of Y must be at least five times as large as one-third the quantity of Z. (2 points)
Y >= 5*(1/3)*Z or, 3Y - 5Z >= 0
The ratio of x1 to x2 can be no more than the ratio of 5 to 7. (2 points)
x1/x2 <= 5/7 or, 7x1 - 5x2 <= 0
The quantity of M must be at least one-third as large as the sum of P and Q. (2 points)
M >= (1/3)*(P+Q) or, 3M - P - Q >= 0
The production of D must be at least 2 more than three times the production of C. (2 points)
D >= 3C + 2 or, D - 3C >= 2
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