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Ira Lisetskai [31]
2 years ago
9

Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat an

d frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. Current schedules yield the following information.
Requirements Component Time Space Manufacture Production
Front 3 10 2 $8 $12
Seat/Frame 4 6 2 6 9
Rear Wheel (each) 0.5 2 0.1 1 3
Available 50,000 160,000 30,000

The company obviously does not have the resources available to manufacture everything needed for the completion of 12000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 12000 fully completed tricycles at the minimum cost.
Business
1 answer:
Harrizon [31]2 years ago
7 0

Answer:

LetFM = number of fronts madeSM = number of seats madeWM = number of wheels madeFP = number of fronts purchasedSP = number of seats purchasedWP = number of wheels purchasedMin8FM + 6SM + 1WM + 12FP + 9SP + 3WPs.t.3FM + 4SM + .5WM 5000010FM + 6SM + 2WM 1600002FM + 2SM + .1WM 30000FM + FP 12000SM + SP 12000WM + WP 24000FM, SM, WM, FP, SP, WP 0

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An apparel manufacturing plant has estimated the variable cost to be $2.40 per unit. Fixed costs are $2,000,000 per year. Forty
marta [7]

Answer:

BEP units:          42,017

BEP dollars: 2,100,850

unit cost at 100,000 units produced: 22.40 dollars

operating profit :    1,656,000

Explanation:

Sales \: Revenue - Variable \: Cost = Contribution \: Margin

50 - 2.4 = 47.6 contirbution margin per unit

\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units}

2,000,000/47.6 = 42.016,80 BEP units

BEP units x sales price = BEP dollars

42,017 x 50 = 2,100,850

(B)

fixed cosy/ units produced = fixed cost per unit

2,000,000/ 100,000 = 20 fixed cost per unit

fixed cost + variable cost = total cost

20 + 2.40 = 22.4

(C)

There are 40% units sold at the preferred customer at cost

So we sale at gain only 60% of the units:

100,000 units x 60% x 50       =  3,000,000

100,000 units x 40% x 22.40  =     896,000

Total revenue                              3,896,000

Cost: 100,000 x 22.40          <u>     (2,240,000)  </u>

operating profit                            1,656,000

4 0
3 years ago
g Banks advertise Group of answer choices the real interest rate, which is how fast the dollar value of savings grows. the real
Serhud [2]

Answer: The Nominal Interest rate, which is how fast the dollar value of savings grows

Explanation:

Banks advertise the Nominal Interest rate. This is the rate that measures purely, how much return is received or paid if one lends out money or borrows money respectively.

It is therefore the value at which savings grow.

It is not adjusted for inflation yet but when adjusted is called the REAL INTEREST RATE.

It is important to note that when Banks advertise the Nominal rate, it is not yet adjusted for fees or the compounding of interest.

3 0
3 years ago
Why​ wouldn't investors invest all of their money in software companies instead of in less profitable​ companies? (Focus on risk
Tamiku [17]

Answer and Explanation:

Risk and return are equal companions if we invest in a market with a higher risk that's mean this type of market provides a higher return.

If Investors invest their whole money in the high-risk market for there high return, may they get a huge loss.

So, The exposure must be balanced by investments in diversified markets with different risk weights.

7 0
3 years ago
If Wild Widgets, Inc., were an all-equity company, it would have a beta of 0.9. The company has a target debt-equity ratio of .4
Veronika [31]

Answer:

a. 6.5%

b. 13.06%

c. 10.91%

Explanation:

a.

Cost of debt of a bond is yield to maturity. Yield to maturity is the rate of return that a investor actually receives or a borrows actually pays on a bond. It is long term return or payment which is expressed in annual term.

Formula for yield to maturity is as follow

Yield to maturity = [ C + ( F - P ) / n ] / [ (F + P ) / 2 ]

By placing values in the formula

Assuming the bond face value is $1,000

Yield to maturity = [ (1000x7.2) + ( 1,000 - $1,090 ) / 20 ] / [ ( 1,000 + $1,090 ) / 2 ]

Yield to maturity = [ $72 + ( 1,000 - $1,090 ) / 20 ] / $1,045

Yield to maturity = [ $72 - $4.5 ] / $1,045

Yield to maturity = $67.5 / $1,045

Yield to maturity = 6.5%

So, the cost of Debt is 6.5%

b.

As 0.9 is the unlevered beta, We need Levered beta due to restructuring of capital.

Beta Levered = Beta Unlevered x ( 1 + ( 1 - tax rate ) x Debt / Equity)

Beta Levered = 0.9 x ( 1 + ( 1 - 0.35 ) x 0.4 )

Beta Levered = 1.134

Cost of equity can be calculated using CAPM

CAPM calculated the expected return on an equity investment based on the risk free rate, market premium and risk beta of the investment.

Formula for CAPM is as follow

Expected return = Risk free Rate + Beta ( Market premium)

As we know the Risk premium is the difference of market return and risk free rate.

Expected return = Risk free Rate + Beta ( Market Return - Risk free Rate )

Ra = Rf + β ( Rm - Rf )

Ra = 4.1% + 1.134 ( 12% - 4.1% )

Ra = 13.06%

Cost of Equity is 13.06%

c.

WACC is the average cost of capital of the firm based on the weightage of the debt and weightage of the equity multiplied to their respective costs.

According to WACC formula

WACC = ( Cost of equity x Weightage of equity )+ ( Cost of debt ( 1- t) x Weightage of debt )

Placing the values in formula

If the debt to equity 0.4  the equity value should be 1 and total capital is 1.4 ( 1 + 0.4 )

WACC = ( 13.06% x 1 / 1.4 )+ ( 6.5% ( 1- 0.35) x 0.4 / 1.4 ) = 9.71% + 1.2% = 10.91%

WACC is 10.91%

4 0
2 years ago
Listed below are five technical accounting terms. Each of the following statements describes one of these technical terms. For e
krok68 [10]

Answer:

a. Incremental analysis.

b. Sunk cost.

c. Relevant information.

d. Opportunity cost.

e. Joint products.

f. Out-of-pocket cost.

g. Split-off point.

Explanation:

a. Incremental analysis: examination of differences between costs to be incurred and revenue to be earned under different courses of action.

b. Sunk cost: a cost incurred in the past that cannot be changed as a result of future actions. Sunk cost can be defined as a cost or an amount of money that has been spent on something in the past and as such cannot be recovered.

c. Relevant information: costs and revenue that are expected to vary, depending on the course of action decided on. Hence, relevant cost are relevant for decision-making purposes but not sunk costs.

d. Opportunity cost: the benefit foregone by not pursuing an alternative course of action. Opportunity cost also known as the alternative forgone, can be defined as the value, profit or benefits given up by an individual or organization in order to choose or acquire something deemed significant at the time.

e. Joint products: products made from common raw materials and shared production processes.

f. Out-of-pocket cost: a cost yet to be incurred that will require future payment and may vary among alternative courses of action.

g. Split-off point: the point at which manufacturing costs are split equally between ending inventory and cost of goods sold. Thus, it give rise to joint products that emerge from the same raw materials and a shared manufacturing process.

6 0
2 years ago
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