Answer:
The answer is: $6,900
Explanation:
To determine how much the insurance company should charge, we must first calculate the amount of money they expect to pay:
- total loss $200,000 x 0.002 = $400
- 50% loss $100,000 x 0.01 = $1,000
- 25% loss $50,000 x 0.1 = $5,000
Total $6,400
If the insurance company expects to pay $6,400 per year, they will have to charge $6,900 ($6,400 + $500) to cover their expenses and earn a $500 profit.
Answer:
(a) Linear model
Subject to:
(b) Standard form:
Subject to:
Explanation:
Given
Solving (a): Formulate a linear programming model
From the question, we understand that:
A has a profit of $9 while B has $7
So, the linear model is:
Subject to:
Where:
Solving (b): The model in standard form:
To do this, we introduce surplus and slack variable "s"
For 
inequalities, we add surplus (add s)
Otherwise, we remove slack (minus s)
So, the standard form is:
So, the linear model is:
Subject to:
Answer:
$23,709
Explanation:
Data provided in the question:
Amount of bond issued = $700,000
Duration = 5 years
Interest rate = 8%
Selling amount of bond = $728,700
Market rate of interest = 7%
Now,
Interest paid = Amount of bond issued × Interest rate
= $700,000 × 0.08
= $56,000
Interest expense = Amount of bond sold × Market Interest rate
= $728,700 × 0.07
= $51,009
unamortized premium = Selling amount of bond - Amount of bond issued
= $728,700 - $700,000
= $28,700
Amortized amount = Interest paid - Interest expense
= $56,000 - $50,009
= $4,991
Balance of the premiums on bonds payable account immediately following the first interest payment
= unamortized premium - Amortized amount
= $28,700 - $4,991
= $23,709
Answer:
C) Because the contracts were for amounts priced at $500 or more, they were required to be in writing and signed by the buyer.
Explanation:
Under Article 2 of the Uniform Commercial Code (UCC) all contracts for the sales of goods with a value above $500 must be in writing. The fact that Patty sent a confirming memo to her clients which wasn't objected, is not sufficient enough to be considered a written contract since the buyer didn't sign it.
According to UCC rules a contract must be signed “by the party against which enforcement is sought.” The buyer could have requested Patty to perform, but she cannot request the buyer to perform.
