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Troyanec [42]
4 years ago
9

Walk Like You Footwear Corporation's flexible budget cost formula for supplies, a variable cost, is $2.67 per unit of output. Th

e company's flexible budget performance report for last month showed a $9,604 favorable spending variance for supplies. During that month, 19,600 units were produced. Budgeted activity for the month had been 19,200 units. The actual cost per unit for supplies must have been:
Business
1 answer:
yarga [219]4 years ago
6 0

Answer:

Actual cost per unit  = $2.13

Explanation:

The spending variance for equipment and supplies can be calculated as below:

Spending variance = Actual spending - Standard Spending, or:

- 9,604 = Actual spending - Standard cost per unit x Budgeted quantity

- 9,604 = Actual spending - 2.67 x 19,200

Solve the equation we get Actual spending = 41,660.

The actual cost per unit for supplies is calculated as below:

Actual cost per unit = Actual spending/Actual production unit

                                  = 41,660/19,600 = 2.13

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Recently, a certain bank offered a 5-year CD that earns 3.26% compounded continuously. Use the given information to answer the q
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Answer:

a. The CD will worth<u> $35,311 </u>in five years.

b. It will take <u>12.44 years </u>for the account to be worth $45,000.

Explanation:

a) If $30,000 is invested in this CD, how much will it be worth in 5 years?(Round to the nearest cent.)

This can be determined using the formula for calculating the future value (FV) compounding formula as follows:

FV = PV * e^(rn) ................................... (1)

FV = Future value in five years = ?

PV = Present value of amount invested = $30,000

e = Mathematical constant approximated as 2.7183

r = Interest rate = 3.26%, or 0.0326

n = number of years = 5

Substituting the values into equation (1), we have:

FV = $30,000 * 2.7183^(0.0326 * 5)

FV= $35,311

Therefore, the CD will worth<u> $35,311 </u>in five years.

(b) How long will it take for the account to be worth $45,000?(Round to two decimal places as needed)

Also, using equation (1) part a, we have:

FV = Future value in n years = $45,000

PV = Present value of amount invested = $30,000

e = Mathematical constant approximated as 2.7183

r = Interest rate = 3.26%, or 0.0326

n = number of years it will take to have $45,000 = ?

Substituting the values into equation (1), we have:

$45,000 = $30,000 * 2.7183^(0.0326 * n)

$45,000 / $30,000 = 2.7183^(0.0326 * n)

1.50 = 2.7183^(0.0326 * n)

Loglinearise both sides and solve for n, we have:

Log(1.50) = (0.0326 * n)Log(2.7183)

0.176091259055681 = 0.0326 * n * 0.434297385124509

0.176091259055681 = n * 0.014158094755059

n = 0.176091259055681 / 0.014158094755059

n = 12.44 years

Therefore, it will take <u>12.44 years </u>for the account to be worth $45,000.

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