Answer:
this is a cost minimization problem, but it is missing some numbers, so I looked for similar questions (see attached PDF):
minimization equation = 20x₁ + 22x₂ + 18x₃ (costs per ton)
where:
x₁ = mine I
x₂ = mine II
x₃ = mine III
the constraints are:
4x₁ + 6x₂ + x₃ ≥ 54 (high grade ore)
4x₁ + 4x₂ + 6x₃ ≥ 65 (low grade ore)
x₁, x₂, x₃ ≤ 7 (only 7 days per week)
using solver, the optimal solution is
2x₁, 7x₂, and 5x₃
a. The number of days Mine I should operate = <u>2 days
</u>
b. The number of days Mine Il should operate = <u>7 days
</u>
c. The number of days Mine III should operate = <u>5 days
</u>
d. The total cost of the operation for next week = <u>$284,000</u>
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Option A. Jessie has the idea for a new phone app so he spend his money to set up a business
Answer:
Net income of Y3K, Inc. is $155.83
Explanation:
Debt-to-equity ratio is calculated by using formula:
Debt-to-equity ratio = Total debt (or liabilities)/Total equity
Total debt (or liabilities) = Debt-to-equity ratio x Total equity = 1.1 x Total equity
Basing on accounting equation:
Total assets = Total liabilities + Total equity = 1.1 x Total equity + Total equity = 2.1 x Total equity
Total equity = Total assets/2.1 = $2,975/2.1
Return on equity (ROE) = Net income/Total equity
Net income = Return on equity (ROE) x Total equity = 11% x ($2,975/2.1) = $155.83
