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likoan [24]
3 years ago
13

A trucking company must deliver a product to a location 150 miles away. The company must pay the driver a wage of $14 per hour.

The company must pay for fuel, which costs C=v^2/250 dollars per hour, where v is the speed of the truck in miles per hour. How fast should the company ask the driver to travel in order to minimize the company's costs?
Business
1 answer:
topjm [15]3 years ago
6 0

Answer:

Speed of the truck should be 64.03 miles per hour to minimize the cost.

Explanation:

Data provided in the question:

Distance = 150 miles

Wage = $14 per hour

Cost of fuel = ( v² ÷ 250 )

Now,

Total time taken = Distance ÷ speed

= 150 ÷ v

Therefore,

Total cost, TC = Wage + Cost of fuel

= $14 × (150 ÷ v) +  ( v² ÷ 250 )

= \frac{2100}{v}+\frac{v^2}{250}

for point of minima differentiating with respect to 'v'

TC'(v) =  -\frac{2100}{v^2}+\frac{2v}{250} = 0

or

-\frac{2100}{v^2}+\frac{2v}{250} = 0

or

\frac{v}{125}=\frac{2100}{v^2}

or

v³ = 2100 × 125

or

v = ∛262500

or

v = 64.03 miles per hour

hence,

Speed of the truck should be 64.03 miles per hour to minimize the cost.

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Answer: True

Explanation:

Variable selling and administrative expenses increase with the number of sales so in order to get them, one needs to multiply the number of sales by the variable and administrative expenses.

This also goes for the budgeted variable selling expenses. To find out these costs, multiply the expected variable and admin expenses by the budgeted number of sales. The amount you get will show the amount of variable expenses to budget based on the sales you budgeted.

3 0
2 years ago
Suppose that preferences over private consumption C and public goods G are such that these two goods are perfect substitutes, th
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Answer:

Please see explanation below.

Explanation:

Public goods are goods consumed collectively, they are provided for all members of a community,

no one can be excluded from their consumption. The consumption by one person does not decrease the consumption possibilities for others. Public goods are available for everybody without paying, and these goods cannot be rationed: they are either provided for the whole community, or for no one. Examples of public goods include the public lighting system, public roads, radio broadcasts, national defence, lighthouses, town pavements, etc.

Private goods, on the other hand, are goods consumed individually, and if a unit has been consumed by

someone, then no one else can also consume the same unit. Private goods are scarcely available, and consuming a unit will decrease the amount available for further consumption. Therefore consumers compete for private goods, i.e. private goods are rival in consumption. Consumers can consume them if they pay the price, non-payers are excluded from consumption.

In the first scenario, given that both the private good and public good are perfect substitutes, the optimum quantity produced by the government is at the point where marginal social cost is equal to the marginal social benefit. This optimum output is lower than that of the private firm because the price of public good is higher than price of private good (since marginal social cost > marginal private cost).

If b increases, that means consumers are willing to give up more units of public goods for one unit of the private good. Therefore, the quantity produced by the government will reduce.

For the second part of the question: C = aG, where a > 0.

This implies that equal or more units of the private good is consumed with a particular units of public good. The optimum output still remain at the point where marginal social cost is equal to marginal social benefit but this output level is lower than if the two goods were to be perfect substitutes.

7 0
3 years ago
Suppose Cook Plus manufactures cast iron skillets. One model is a​ 10-inch skillet that sells for $ 24. Cook Plus projects sales
ioda

Answer:

Production= 750 units

Explanation:

Giving the following information:

Cook Plus projects sales of 675 ​10-inch skillets per month.

Cook Plus has 60 ​10-inch skillets in inventory at the beginning of July but wants to have an ending inventory equal to 20​% of the next​ month's sales.

TO calculate the production required, we need to use the following formula.

Production= sales + desired ending inventory - beginning inventory

Production= 675 + (0.2*675) - 60

Production= 750 units

4 0
3 years ago
Lossing Corporation applies manufacturing overhead to products on the basis of standard machine-hours. Budgeted and actual overh
aalyn [17]

Answer:

$1,287  unfavorable

Explanation:

According to the scenario, computation of the given data are as follow:-

But before that we need to calculate the following things

Total Budgeted Fixed Cost

= Supervision Fixed Cost + Utilities Fixed Cost + Factory Depreciation Fixed Cost

= $15,510 + $14,800 + $59,780

= $90,090

Budgeted Fixed Manufacturing Overhead Rate

= Total Budgeted Fixed Cost  ÷ Original Budgeted Machine Hours

= $90,090 ÷ 7,700 hours

= $11.7

Based on the above calculation, the overall fixed manufacturing overhead volume variance is

= Budgeted Fixed Manufacturing Overhead Rate × (Original Budgeted Machine Hours - Actual Output of Month Totaled)

= $11.7 × (7,700 hours - 7,590 hours)

= $11.7 × 110

= $1,287  unfavorable

According to the analysis, the overall fixed manufacturing overhead volume variance for the month is $1,287

8 0
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When a temporary negative supply shock hits the economy​ ________.
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Answer:

C. the divine coincidence does not always hold

Explanation:

When a temporary negative supply shock hits the economy the divine coincidence does not always hold.

7 0
3 years ago
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