Circle the correct answer: Let: A = number of units of product A produced on Saturday,...
Circle the correct answer:
Let: A = number of units of product A produced on Saturday,
B = number of units of product A produced on Sunday,
C = number of units of product B produced on Saturday, and
D = number of units of product B produced on Sunday.
a. Which constraint(s) say that a total of 200 units of product A will be produced on Saturday and Sunday (together).
- A= 200 and B= 200
- A+ B= 200
- A+ B + C + D= 200
- A+ C= 200
- 200A= B
- None of the above.
b. Which of the following constraints says that half as much of product A will be produced on Saturday as on Sunday?
- A <= 2B
- B <= 2A
- A = 2B
- B = 2A
- None of the above.
Homework Answers
a) A+B = 200
The below table summarizes the given details
For this question we need a constraint that states that a total of 200 units of product A are produced on Saturday and Sunday (together). Since we are only asked about Product A, option C and D are not correct. We can see from above table that total units of Product A produced are the sum of A and B. We need that this total should be 200. Hence the constraint is A+B=200. Hence the correct option is option B. Option A is wrong as this states that 200 units each a=of Product A are produced on Saturday and Sunday. Option E is wrong as it states that units of product A produced on Sunday is 200 times that produced on Saturday.
b) B = 2A
It is required that units of product A produced on Saturday is half of units produced on Sunday. From the above table we can see that units of product A produced on Saturday is A and units of product A produced on Sunday is B. We need that A should be equal to half of B. Hence we the below
A = 0.5B = (1/2)B
2A = B
B = 2A
Thus option d is the correct answer.
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