Let M be the number of units to make and B be the number of units to buy. It cos

Question

Let M be the number of units to make and B be the number of units to buy. It costs $1.5 to make a unit and $2.5 to buy a unit, and the total number of units for sale must be at least 2000. Formulate an LP to minimize the total cost. (Make or Buy) The objective is _____. A. min 1.5M+2.5B B. min 2.5M+1.5B C. max 2M+3B D. max 1.5M+2.5B Let M be the number of units to make and B be the number of units to buy. It costs $1.5 to make a unit and $2.5 to buy a unit, and the total number of units for sale must be at least 2000. Formulate an LP to minimize the total cost. (Make or Buy) The constraint is _____. A. M + B lessthanorequalto 2000 B. M+B greaterthanorequalto 2000 C. 1.5M+2.5B greaterthanorequalto 2000 D. 1.5M+2.5B lessthanorequalto 2000 Goldilocks needs at least 10 lbs of gold and at least 20 lbs of silver to pay the rent. There are two mines in which she can find gold and silver. Each day that Goldilocks spends in mine 1, she finds 4 lbs of gold and 2 lbs of silver. Each day that Goldilocks spends in mine 2, she finds 3 lb of gold and 5 lb of silver. Min X_1+X_2 s.t. aX_1+bX_2 greaterthanorequalto 10 Gold cX_1+dX_2 greaterthanorequalto 20 Silver X_1, X_2 greaterthanorequalto 0 In the LP above, the LHS coefficients are _____. A. a = 4, b = 3, c = 2, d = 5 B. a = 4, b = 3, c = 5, d = 2 C. a = 4, b = 2, c = 3, d = 5 D. a = 2, b = 4, c = 5, d = 3

Explanation / Answer

Answer - 4:

Since it takes $1.5 to make a unit and $2,5 to buy a unit, we need to minimize:

1.5M + 2.5B

Option A is correct.

Answer - 5:

The sum of M and B should be atleast 2000. Hence,

The constraint will be:

M + B > 2000

Option B is correct.

Answer - 6:

From mine 1,she can get 4 lbs of gold and from mine 2, she can get 3 lbs of gold. Hence,

a = 4, b = 3

Similarly for silver,

c = 2, d = 5

So,

Option A is correct.

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