The algebraic formulation of the constraint involved in this manufacturing process is <u>c. 4x1 + 2x2 <= 100</u>.
<h3>What is a constraint?</h3>
A constraint is a condition that an optimization problem must satisfy to provide a solution.
The types of constraints are:
- Equality constraints
- Inequality constraints
- Integer constraints.
<h3>Answer Options:</h3>
a. 4x1 + 2x2 >= 100
b. 4x1-2x2 <= 100
c. 4x1 + 2x2 <= 100
d. 4x1 2x2 >= 100
Thus, the algebraic formulation of the constraint involved in this manufacturing process is <u>c. 4x1 + 2x2 <= 100</u>.
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Future Value is $7,327.20
<h3>What is compound interest ?</h3>
Compound interest is the interest on deposits that is computed using both the original principal and the interest accrued over time.
It is thought that the concept of "interest on interest" or compound interest first appeared in Italy in the 17th century. Compared to simple interest, which is just charged on the principal amount, it will cause a sum to grow more quickly.
Money grows more quickly when it is compounded, and compound interest increases as the number of compounding periods increases.
CI formula : A = P(1 + r/n)^nt
where,
P = principal balance,
r = interest rate,
n = number of times interest is compounded per time period and
t = number of time periods.
To solve this question :
A = P(1 + r/n)^nt
= 6,000 (1 + 0.02/12) 120
= USD 7,327.20
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Answer: A: the time required for monetary policies to take effect
Explanation:
The impact lag also known as the response lag is the time it takes for corrective monetary and fiscal policies, designed to smooth out the economic cycle or respond to an adverse economic event, to affect the economy once they have been implemented.
For instance, during the last recession, several policies were introduced by the government to manage the situation . The time it takes for the citizens to feel the impact of these policies is known as the impact lag phase.
Answer:
The company’s cash flows from operating activities was a cash inflow of $5,000
Explanation:
Cash at the end of the year = Cash at the beginning of the year + Net cash inflows from investing activities + Net cash inflows from financing activities + Net cash inflows from operating activities
Therefore,
Net cash inflows from operating activities = Cash at the beginning of the year + Net cash inflows from investing activities + Net cash inflows from financing activities - Cash at the end of the year = $340,000 + $40,000 + $45,000 - $420,000 = $5,000 >0
The company’s cash flows from operating activities was a cash inflow of $5,000
Answer: "building footprint" .
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