The interpretation of the result is that the maximum value of the objective function is 29
<h3>How to solve and interpret the result?</h3>
The objective function is given as:
Max z = 3x₁ + 5x₂+ 4x₃
The constraints are:
2x₁ +3x₂ ≤ 18
2x₁ + x₂ ≤ 10
3x₁ + 2x₂ +4x₃ ≤ 15
x₁, x₂, x₃ ≥ 0
Subtract the second inequality from the first
2x₁ - 2x₁ + 3x₂ - x₂ ≤ 18 - 10
Evaluate the like terms
2x₂ ≤ 8
Divide by 2
x₂ ≤ 4
Substitute 4 for x₂ in 2x₁ +3x₂ ≤ 18
2x₁ +3*4 ≤ 18
This gives
2x₁ + 12 ≤ 18
Evaluate the like terms
2x₁ ≤ 6
Divide by 2
x₁ ≤ 3
Substitute 4 for x₂ and 3 for x₁ in 3x₁ + 2x₂ +4x₃ ≤ 15
3*3 + 2*4 +4x₃ ≤ 15
This gives
17 +4x₃ ≤ 15
Evaluate the like terms
4x₃ ≤ -2
Divide by 4
x₃ ≤ -0.5
From the constraints, we have:
x₁, x₂, x₃ ≥ 0
So, we set all negative values to 0
This means that:
x₃ ≤ 0
Substitute these values in the objective function
Max z = 3 * 3 + 5 * 4 + 4 * 0
Evaluate
Max z = 29
Hence, the interpretation of the result is that the maximum value is 29
Read more about objective functions at:
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Answer:
Debit Rent expense and credit prepaid rent for $3,250.
Explanation:
When rent is paid in advance, cash is exchanged for another asset known as prepaid expense. This entry is recorded as
Debit Prepaid expense
Credit Cash account
As the rent is used up, the entries required are;
Debit Rent expense
Credit Prepaid expense
Hence as at January 31, rent expense incurred
= 1/12 × $39,000
= $3,250
It differs from store to store. Usually it's around $500-$600 per money order slip. So if you want a $800 money order, you would have to get two seperate slips, but usually the maximum you can take out in two slips is around $1,000.
Answer:
Direct Materials EU = 165,000
Direct Labour EU = 144,000
Explanation:
Equivalent Units (Weighted Average Method) = Beginning Goods In process + Units Completed + Ending Goods x % of completion
Direct Materials: 25,000 + 110,000 + 30,000 x 100% = 165,000
Direct Labor: 25,000 + 110,000 + 30,000 x 30% = 144,000
Remember: In the weighted average cost system the units in process at the beginning are count as a full equivalent unit of production.
Answer:
True
Explanation:
The right to private property is a natural right, but that right is of the negative type, that means that the right ends when it affects the rights of other people.
If you own private property, but the use of your private property is damaging the property of others, then, you have to change the way you are using it until the damages no more the other person's property.
If for example you own a house, and play loud music every night, your are infringing your neighbors right to sleep inside their private property (their houses), therefore, you must stop playing the loud music so that you do not damange your neighbors property anymore.