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
matrenka [14]
2 years ago
6

. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processe

d on two assembly lines, where the required production times are as follows. Product Hours/Unit Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Transform this model into standard form.
Business
1 answer:
prohojiy [21]2 years ago
4 0

Answer:

(a) Linear model

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

(b) Standard form:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

Explanation:

Given

\begin{array}{ccc}{} & {Hours/} & {Unit} & {Product} & {Line\ 1} & {Line\ 2} & {A} & {12} & {4} & {B} & {4} & {8} & {Total\ Hours} & {60} &{40}\ \end{array}

Solving (a): Formulate a linear programming model

From the question, we understand that:

A has a profit of $9 while B has $7

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

Where:

x \to line\ 1

y \to line\ 2

Solving (b): The model in standard form:

To do this, we introduce surplus and slack variable "s"

For \le inequalities, we add surplus (add s)

Otherwise, we remove slack (minus s)

So, the standard form is:

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

You might be interested in
Suppose during the course of a year an economy produces $7 trillion of consumer goods, $1 trillion of investment goods, $5 trill
In-s [12.5K]

Answer:

D) $12 trillion.

Explanation:

GDP is the sum of all final goods and services produced in an economy within a given period which is usually a year.

GDP = Consumption + Investment + Government Spending + Net Export

Net Export = Export - Import

Net Export = $1 - $2 = -$1

GDP = $7 + $1 + $5 - $1 = $12

All calculations are in trillion

I hope my answer helps you.

4 0
3 years ago
When a company is able to expand its operations by exporting globally, it can often achieve greater economies of scale which res
gogolik [260]

When a business is able to grow by exporting its products around the world, it can frequently attain larger economies of scale, which leads to reduced unit costs.

A company's production unit cost often goes down as it grows. This reduction is the result of economies of scale. By employing the least expensive production techniques, profits will be maximized.

Consumers' prices are lowered as a result of lower cost-per-unit, which increases their real wages overall and makes it easier for them to locate affordable goods.

Businesses from one country offer their goods and services to clients or consumers in another country through the exporting process.

When a company produces more goods at a larger scale while paying less money on average per unit of output, this is a phenomenon known as economies of scale.

Learn more about economies of scale here:

brainly.com/question/23633985

#SPJ4

8 0
8 months ago
A step out is a pricing practice in which a firm:
Katen [24]
I would say the answer is D
3 0
3 years ago
Richards Corporation uses the FIFO method of process costing. The following information is available for October in its Fabricat
ivann1987 [24]

Answer:

Cost per equivalent unit Materials =  $ 2.82

Cost per equivalent unit Conversion =  $2.65

Explanation:

Richards Corporation

1) We first calculate the fifo equivalent units .

FIFO Equivalent units can be calculated by the following.

Particulars          Units        % of Completion             Equivalent Units

                                              Mat. Con. Costs       Materials C. Costs

Transferred out, 366,000        100       100             366,000   366,000

Ending inventory, 39,000         30         15              11700         5850

Total Weighted Equivalent Units                           377,700     371,850

Less

<u> Beginning Inventory: 98,000, 80%  20%             78,400        18000</u>

<u>FIFO Equivalent Units                                          299,300       353,850 </u>  

2) We calculate the total costs

                                                   Direct Materials  Conversion

Costs in beginning Work in Process -$55,200       $97,700

<u>Costs incurred in October -                 $844,050      $937,300. </u>

Total Cost                                           $ 899250         1035,000  

<u />

<u>3) In FIFO The cost per unit is  based only on the current costs and current period unit productions.</u>

Materials = $844050/299300= $2.82

Conversion = 937,300  / 353,850   = 2.6488= $2.65

8 0
2 years ago
Suppose you just won the state lottery, and you have a choice between receiving $3,500,000 today or a 20-year annuity of $250,00
xeze [42]

Answer: The correct answer is e). 3.67%

Explanation: An ordinary annuity is a series of payments made at the end of each period.

The formula for ordinary annuity is PV = PMT × ((1 - (1 + r) ^ -n)/ r)

Where; PMT = the periodic cash payment; r = the interest rate per period; n = the total number of periods and PV = present value.

Therefore; 3500000 = 250000×((1-(1+r)^-20)/r

This will give the rate as 3.67%

4 0
3 years ago
Other questions:
  • An entrenpeneur knits sweaters for sale. The entrenpeneur has fixed costs of $100. When he makes 10 sweaters in one month, he mu
    7·1 answer
  • JBC Customs only hires people who are curious and eager to learn as its managers believe that those are the two traits every emp
    6·1 answer
  • In calculating the daily balance, cash advances are
    5·2 answers
  • At a price of $60 per bathing suit, what is the quantity demanded of bathing suits?
    7·1 answer
  • Which of the following statements about the segment margin is not true? In preparing a segmented income statement, the variable
    9·1 answer
  • The Hype Company's currently outstanding bonds have a 10 percent coupon and a 11 percent yield to maturity. Hype believes it cou
    7·1 answer
  • Lola is a purchasing agent for her company. She has just submitted a purchase order to the supplier. What step in the purchasing
    14·1 answer
  • matthew has written his mission, vision, and value statements. he has completed his organizational assessment. what is his next
    11·1 answer
  • Which ics function is responsible for documentation.
    6·1 answer
  • Tracing transactions through the information system relevant to financial reporting. inquiring of entity personnel. assessing in
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!