1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Find the future values of these ordinary annuities. Compounding occurs once a year. Do not round intermediate calculations. Roun
neonofarm [45]

Answer:

(a) $50,980.35

(b) $5,129.90

(c) $2,400

(d) $50,980.35

(e) $5,129.90

(f) $2,400

Explanation:

A constant payment for a specified period is called annuity. The future value of the annuity can be calculated using a required rate of return.

Formula for Future value of annuity is

F = P * ([1 + I]^N - 1 )/I

P =Payment amount

I = interest rate

N = Number of periods

(a) $1,000 per year for 16 years at 14%

F = $1,000 x ([1 + 14%]^16 - 1 )/14%

F = $50,980.35

(b) $500 per year for 8 years at 7%

F = $500 x ([1 + 7%]^8 - 1 )/7%

F = $5,129.90

(c) $600 per year for 4 years at 0%.

F = $600 x 4

F = $2,400

(d) $1,000 per year for 16 years at 14%

F = $1,000 x ([1 + 14%]^16 - 1 )/14%

F = $50,980.35

(e) $500 per year for 8 years at 7%

F = $500 x ([1 + 7%]^8 - 1 )/7%

F = $5,129.90

(f) $600 per year for 4 years at 0%.

F = $600 x 4

F = $2,400

3 0
3 years ago
Employees arrive at a cafeteria according to a Poisson process at an average rate of 30 employees per hour. The probability that
Juliette [100K]

Answer:

a. 0.223

Explanation:

Calculation for the Probability that after one employee arrives, the next one will arrive at least 3 minutes

Since no one comes in 3 minutes,hence:

3minutes/60 =1/20 hours

Thus, the Probability will be calculated as:

Probability=e^20/30

Probability=0.223

Therefore the Probability that after one employee arrives, the next one will arrive at least 3 minutes will be 0.223

6 0
3 years ago
In its first month of operations, Giffin Company made three purchases of merchandise in the following sequence: (1) 240 units at
alisha [4.7K]

Answer:

$1,395

Explanation:

Total cost of Inventory purchased

= (No. of units × Per unit price) +  (No. of units × Per unit price) +  (No. of units × Per unit price)

= (240 × 8) +(340 × 10) +(440 × 11)

= 1,920 + 3,400 + 4,840

= $10,160

Number of units purchased = 240 + 340 + 440

                                              = 1,020

Average cost per unit = total cost /No. of units

= 10,160 /1,020

= $ 9.9608 per unit

Cost of ending inventory = 140 × 9.9608

= $1,395

8 0
3 years ago
Economic growth can be portrayed as:____________. 1. An inward shift of the production possibilities curve. 2. An outward shift
Aleonysh [2.5K]

Answer:

2. An outward shift of the production possibilities curve.

Explanation:

Economic growth can be defined as an increase in the output of goods produced in an economy or increase in what an economy produces using its scarce resources.

Simply put it is an increase in production capacity.

The production possibility curve shows all possible combinations of two products that can be produced with a given level of resources.

When there is increase in capacity there is increase in number of goods that can be produced. For example if resources of 50 units can produce 15 units of A and 20 units of B. An increase of resources to 70 units will be able to produce more let's say 20 units of A and 23 units of B.

This results in shift of PPP outward as illustrated in the attached diagram.

3 0
3 years ago
What is the type of pricing determined largely by what other companies in your industry are charging?
labwork [276]
I got B as the answer
3 0
4 years ago
Other questions:
  • Jessica completed a four-year degree program in Finance and Accounting. She hasn’t yet gained any work experience in this field.
    8·2 answers
  • Why isn't overstocking warehouses an effective solution for a problem of low availability? select one:
    9·1 answer
  • In an operation​ strategy, a strategic manager can use​ ________ in​ ever-changing environments because it requires that​ people
    12·1 answer
  • Assume interest rate parity exists. If the spot rate on the British pound is $2 and the 1-year British interest rate is 7 percen
    8·1 answer
  • At a price of $50, consumers demand 1,000 pair of shoes, and sellers supply 500 pairs of shoes. At $50, there is _____.
    9·2 answers
  • An organization's budgeting process should include the expression of its major policies:__________A. In writing and in qualitati
    13·1 answer
  • A condensed income statement by product line for British Beverage Inc. indicated the following for King Cola for the past year:
    11·1 answer
  • Efficient Corporation uses a standard cost system. The following information was provided for the period that just ended: Actual
    7·1 answer
  • Which of the following statements is true of contingency planning? a. ​ It is planned for a five-year time frame. b. ​ It focuse
    6·1 answer
  • When a company sells a buyer certain goods only on condition that the buyer also purchases other goods from the firm, this is kn
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!