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klemol [59]
3 years ago
10

Connolly Company produces two types of lamps, classic and fancy, with unit contribution margins of $13 and $21, respectively. Ea

ch lamp must spend time on a special machine. The firm owns four machines that together provide 18,000 hours of machine time per year. The classic lamp requires 0.20 hours of machine time, the fancy lamp requires 0.50 hours of machine time.
How many of each type of lamp must be sold to optimize total contribution margin?

a. 90,000 classic lamps; 0 fancy lamps
b. 0 classic lamps; 9,000 fancy lamps
c. 18,000 classic lamps; 0 fancy lamps
d. 0 classic lamps; 30,000 fancy lamps
e. 10,000 classic lamps; 10,000 fancy lamps
Business
1 answer:
Eva8 [605]3 years ago
7 0

Answer:

a. 90,000 classic lamps; 0 fancy lamps

Explanation:

To determine the optimise total contribution, we need to calculate the contribution margin per hour of machine time for both the lamps. Then the result of whichever is higher would be produced.

Moreover, as there is no limitation on how many lamps can be produced, therefore, we would assume that we can make as many as we want up to the limit of machine-hours available. The calculation is done as follows:

Contribution margin per hour of machine time for classic lamp = Contribution/machine hours to build one classic lamp

Contribution margin per hour of machine time for classic lamp = 13 / 0.2

Contribution margin per hour of machine time for classic lamp = 65

Contribution margin per hour of machine time for fancy lamp = Contribution/machine hours to build one fancy lamp

Contribution margin per hour of machine time for fancy lamp = 21 / 0.5

Contribution margin per hour of machine time for fancy lamp = 42

Since classic lamp has the higher contribution margin per hour. Therefore, all the machine hours would be used to make classic lamps.

= 18,000 / 0.2

= 90,000

Hence, 90,000 classic lamps would be sold while no fancy lamps will be sold to optimise total contribution (which would be 65 x 18,000 = $1,170,000).

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3 years ago
Huai takes out a $3,600 student loan at 6.6% to help him with 2 years of community college. After finishing the 2 years, he tran
Alja [10]

Answer:

a. The monthly payment on loan 1 is $76.03.

b. The monthly payment on loan 2 is $411.69.

Explanation:

a. Calculate the monthly payment on loan 1.

To determine the amount of periodic payments, the present value of annuity formula should be used:

PV=P(\frac{1-(1+r)^{-n} }{r} )

Where:

PV= present value

p=periodic payment

i=rate of interest

n=number of periods

We get the data for this exercise:

PV= 3,600 (loan).

p= unknown (we must find this value)

i= 6.6% or 0.066. However, because we need to know the monthly payment, the interest rate should be divided by 12 (0.066 / 12).

n= 4 years and 7 months, that is 55 months.

And we replace in the formula:

3600=P(\frac{1-(1+\frac{0.066}{12})^{-55} }{\frac{0.066}{12} } )

3600=P(\frac{1-(1+0.055)^{-55} }{0.0055} )

3600=P(\frac{1-(0.7395812268)}{0.0055} )

3600=P(\frac{0.2604187732}{0.0055} )

3600=P(47.348867)

Therefore:

P=\frac{3600}{47.348867}

P=76.03

The monthly payment on loan 1 is $76.03.

b. Calculate the monthly payment on loan 2.

We get the data for this exercise:

PV= 11,600 (loan 2).

p= unknown (we must find this value)

i= 7.3% or 0.073. However, because we need to know the monthly payment, the interest rate should be divided by 12 (0.073 / 12).

n= 2 years and 7 months, that is 31 months.

And we replace in the formula:

11600=P(\frac{1-(1+\frac{0.073}{12})^{-31} }{\frac{0.073}{12} } )

11600=P(\frac{1-(1+0.006083)^{-31} }{0.006083} )

11600=P(\frac{1-(0.8286047296)}{0.006083} )

11600=P(\frac{0.1713952704}{0.006083} )

11600=P(28.1761088936)

Therefore:

P=\frac{11600}{28.1761088936}

P=411.69

The monthly payment on loan 2 is $411.69.

8 0
3 years ago
​Ronald, Ross, and Carol opened a partnership firm. Ronald has a capital of​ $77,000; Ross has a capital of​ $119,000; and Carol
gtnhenbr [62]

Answer:

A. Carol, Capital is debited for $4,500

Explanation:

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First premise: Ronald's Capital in the Partnership = $77,000

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Since the agreement is equal profit and loss sharing, it means each of Ross and Carol will contribute 1/2 of the $9,000.

The journal entry to record this transaction is as follows:

Particulars                                          Debit                     Credit

Carol Capital Account                      $4,500

Ross Capital Account                       $4,500

Ronald Capital Account                                                  $9,000

Being the equal contribution of excess amount paid to Ronald on exit from the partnership by Carol and Ross.

Based on the multiple choices, the correct answer is Carol, Capital is debited for $4,500

4 0
3 years ago
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