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suter [353]
3 years ago
7

Billy Penny is trying to determine how many units of two types of cordless telephones to produce each day. One of these is the s

tandard model, while the other is the deluxe model. The profit per unit on the standard model is $90, while the profit per unit on the deluxe model is $120. Each of these requires 30 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of inspection time. The company must fill an order for 6 Deluxe models. There are 450 minutes of assembly time and 180 minutes of inspection time available each day.
Required:
Formulate as an LP, solve using QM, then interpret your output.
Business
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

The optimal solution is 3 standard telephones and 10 deluxe telephones for a maximum profit of $1,470.

Explanation:

we have to maximize profit following the equation 90s + 120d

the constraints are:

30s + 35d ≤ 450  

10s + 15d ≤ 180

d ≥ 6  

s ≥ 0

using solver, the optimal solution is 3 standard telephones and 10 deluxe telephones for a maximum profit of $1,470.

we can check our solution:

(90 x 3) + (120 x 10) = 1,470

(30 x 3) + (35 x 10) = 440 ≤ 450

(10 x 3) + (15 x 10) = 180 ≤ 180

10 ≥ 6  

3 ≥ 0

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The correct answers are 1:D, 2:C, 3:D, and 4:A for the business model and questions related to it.

This can be explained as follow:

                    Questions--- Business models

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3. What will happen next?- Predictive modeling

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The complete question is:

Match the business analytic tool with the question it sets out to answer. options of questions are:

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2. What if these trends continue?

3. What will happen next?

4. What is the best that can happen?

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A. Statistical Analysis

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C. Forecasting/extrapolation

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10 months ago
Karen and Al obtained a 30-year fixed-rate, fully amortized loan when they purchased their home. Which statement is true
murzikaleks [220]

Based on the information given regarding the mortgage, the true statement will be that each of their payments is for the same amount.

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Factors of production are the parts of the economy that:
svetoff [14.1K]
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2 years ago
It announces that it plans to pay dividends of $1 per share exactly three years from now and $2 per share exactly four years fro
kkurt [141]

The Question is incomplete.

The complete question is as follows:

It announces that it plans to pay dividends of $1 per share exactly three years from now and $2 per share exactly four years from now. From year 5 onwards, dividends are expected to grow at a constant rate of 10% per year. The company pays no dividends in years one and two. The risk-free rate is 5%, the company's beta is 1.5 and the expected return on the market is 11%. Calculate the price of this stock today

Answer:

Price of stock =  $34.42

Explanation:

<em>The Dividend Valuation Model is a technique used to value the worth of an asset. According to this model, the worth of an asset is the sum of the present values of its future cash flows discounted at the required rate of return.</em>

Required rate of return

Using the CAPM , the rate of return on equity can be determined as follows:

E(r)= Rf +β(Rm-Rf)

E(r) =? , Rf- 5%, Rm- 11%, β- 1.5

Ke = 5% + 1.5× (11-5)%

   = 14%

Present value of Dividends(PV)

Year                                                      PV

3                       $1.00, × (1.14^(-3) =   0.6749

4                        $2.00× 1.14^(-4) =  1.18416

<em>5 and beyond</em>

<em>This will be done in two (2) steps as follows:</em>

PV in year 4 = (2 × 1.10) /(0.14-0.1) = 55

PV in year 0 = 55× 1.14^(-4) = 32.56

Price of stock

=  0.6749  +  1.18416 + 32.56

=  $34.423

7 0
2 years ago
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