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LuckyWell [14K]
3 years ago
8

In spending all his income on beer and pizza, Fred finds that the marginal utility of the last pizza he consumed is 8, and the m

arginal utility of the last bottle of beer is 4. The price of a bottle of beer is $1.50. If Fred has maximized his utility, the price of pizza must be
Business
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

For a utility maximization, the pizza's price has to be $3.

Explanation:

The condiction to said that the utility has been maximized, is that the marginal utility for every dollar is the same for every factor (in this case, pizza and beer).

We can express that as

\frac{dU/dpizza}{P_{pizza}}= \frac{dU/dbeer}{P_{beer}}

Being dU/dpizza the marginal utility of pizza and dU/dbeer

If we want to know the price of pizza, we have to rearrange the equation

\frac{dU/dpizza}{P_{pizza}}= \frac{dU/dbeer}{P_{beer}}\\\\P_{pizza}=P_{beer}*\frac{dU/dpizza}{dU/dbeer}}\\P_{pizza}=1.5*(8/4)=1.5*2=3

In this case, for a utility maximization, the pizza's price has to be $3.

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Answer:

1. Compute the variable overhead cost and efficiency variances and fixed overhead cost and volume variances.

  • variable overhead cost variance = $1,000 unfavorable
  • variable efficiency variance = -$1,200 favorable
  • fixed overhead costs = $1,500 unfavorable
  • fixed overhead volume variance = -$100 favorable

2. EXPLAIN (as best you can) why the variances are favorable or unfavorable. Based on cost and efficiency budget standards.

  • variable overhead cost variance is unfavorable because actual variable overhead costs per unit are higher than budgeted.
  • variable efficiency variance is favorable because the company used less direct labor hours than budgeted to produce a higher amount of units (1,600 vs. 2,000).
  • fixed overhead costs are unfavorable because total fixed overhead costs were much higher than budgeted, but most of this variance can be explained by higher output.
  • fixed overhead volume variance are favorable because a higher volume was produced using less hours than budgeted.

Explanation:

Static budget variable overhead $1,200

Actual variable overhead $4,000

Static budget fixed overhead $1,600

Actual fixed overhead $3,100

Static budget direct labor hours 800 hours

Actual direct labor hours 1,600

Static budget number of units 400 units

Actual units produced 1,000

Standard direct labor hours 2 hours per unit

Actual direct labor hours 1.6 per unit

standard variable rate = $1,200 / 400 units = $3 per unit

actual variable rate = $4,000 / 1,000 units = $4 per unit

standard fixed rate = $1,600 / 800 hours = $2 per hour

actual fixed rate = $3,100 / 1,600 hours = $1.9375 per hour

variable overhead cost variance = actual costs - (standard rate x actual units) = $4,000 - ($3 x 1,000) = $1,000 unfavorable

variable efficiency variance = (actual hours x standard rate) - (standard hours x standard rate) = (1,600 × $3) − (2,000 x $3) = $4,800 - $6,000 = -$1,200 favorable

fixed overhead costs = actual overhead costs - budgeted overhead costs = $3,100 - $1,600 = $1,500 unfavorable

fixed overhead volume variance = (actual fixed rate x actual hours) - (standard rate x actual hours) = ($1.9375 x 1,600) - ($ x 1,600) = $3,100 - $3,200 = -$100 favorable

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