Question

XYZ Inc. produces two types of paper towels?regular and super-soaker. Regular uses 2 units of recycled paper per unit of production, and super-soaker uses 3 units of recycled paper per unit of production. The total amount of recycled paper available per month is 10,000. Let X1 be the number of units of regular produced per month and X2 the number of units of super-soaker produced per month. The appropriate constraint/s will be:_________

A) 2X1 + 3X2 = 10000

B) 180X1 + 80X2 geq 360

C) 2X1 + 3X2 geq 10000

D) 2X1 = 3X2

E) A, B, and C

Answer 1

Answer:

The appropiate constraint is:

$2X_1+3X_2\leq10,000$

Step-by-step explanation:

There is only one restriction in this problem, and that is the available units of recycled paper per month.

There is a total of 10,000 units.

Regular paper (X1) uses 2 units per unit of production and Super-soaker (X2) uses 3 units per unit of production.

The total units used for both types of paper are:

$2X_1+3X_2$

This amount has to be equal or smaller than the available (10,000 units):

$2X_1+3X_2\leq10,000$

Answer 2

The appropriate constraint/s for the units of production being made by XYZ Inc is;

2X₁ + 3X₂ ≤ 10000

We are told that;

X₁ is the number of units of regular produced per month

X₂ the number of units of super-soaker produced per month.

we are told that;

Regular uses 2 units of recycled paper per unit of production. This is 2X₁

Also, we are told that super-soaker uses 3 units of recycled paper per unit of production. This is 3X₂.

We are now told that The total amount of recycled paper available per month is 10,000.

This means that;

2X₁ + 3X₂ ≤ 10000

The symbol less than or equal to is used because it is not possible for the 10000 to be exceeded as that is the amount available and also it's possible less than the 10000 may be used.

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