Answer:
Real interest rate= 0.06 = 6%
Explanation:
Giving the following information:
Nominal interest rate= 12%
Inflation rate= 6%
<u>The inflation rate provides the opposite effect on the interest rate. It decreases the purchasing power of an individual. </u>To calculate the real interest rate, we need to deduct the inflation rate.
Real interest rate= 0.12 - 0.06= 0.06
Answer:
i) Z = 20( 80 ) + 50(20 ) = $2600
ii) $3000
Explanation:
representing products A and B as x₁ and x₂
using the given data
Max ( z ) = 20x₁ + 50x₂ ( optimal product mix for optimal profit ) ---- ( 1 )
0.8 ( x₁ + x₂ ) ≥ 0
0.8x₁ + 0.8x₂ ≥ 0 ------------ ( 2 )
also x₁ ≤ 100 --- ( 3 ) considering the amount to be sold ( sales volume )
based on the availability of raw material
2x₁ + 4x₂ ≤ 240 ----- ( 4 )
resolve equations 2, 3, and 4 graphically
x₁ = 80 units , x₂ = 20 units
back to equation 1
Z = 20( 80 ) + 50(20 )
= 1600 + 1000 = $2600
ii) To increase the number of units of A produced
given that x₁ ≤ 100 and the actual optimal units produced = 80 units
2600 + 20(100-80)
= 2600 + 20(20) = 2600 + 400 = $3000
The statement in the question is True.
<u>Explanation:</u>
In statistics, the residual sum of squares (RSS), otherwise called the sum of squared residuals (SSR) or the total of squared estimate of errors (SSE), is the aggregate of the squares of residuals (deviations anticipated from real observational estimations of information). It is a proportion of the error between the information and an estimation model.
A little RSS demonstrates a tight attack of the model to the information. It is utilized as an optimality standard in parameter determination and model choice.
Answer:
$8,700
Explanation:
Variable Overhead Rate Variance = Actual Hours *(Actual Rate - Standard Rate) =
Variable Overhead Rate Variance = 1,600 * ($2.40 - $3.80)
Variable Overhead Rate Variance = 1,600 * $1.40 F
Variable Overhead Rate Variance = $2240 F
Variable Overhead Efficiency Variance = Standard Rate*(Actual Hours - Standard Hours) =
Variable Overhead Efficiency Variance = $3.80*(1,600 - 0.50*3,300)
Variable Overhead Efficiency Variance = $3.80* 50 F
Variable Overhead Efficiency Variance = $190 F
Over- or Underapplied Variable Overhead = Actual Overhead Incurred - Overhead Applied
Over- or Underapplied Variable Overhead = 1600*$2.40 - 3,300*$3.80
Over- or Underapplied Variable Overhead = $3840 - $12540
Overapplied Variable Overhead = $8,700
Answer:
How much do you make in interest in a year?
<u>$ 1100</u>
How much would you need to have made for your spending power to keep up with inflation in that year?
<u>$ 1782
</u>
How much buying power did you lose in that year because of inflation?
<u>$ 682
</u>
Explanation:
Your interest formula is given to you.
Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)
Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100
How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise prices are going up faster than you're saving.
Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782
How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.
Hope that helped :)
