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
denis-greek [22]
3 years ago
15

O.J. Juice Company sells bags of oranges and cartons of orange juice. O.J. grades oranges on a scale of 1 (poor) to 10 (excellen

t). O.J. now has on hand 100,000 lb of grade 9 oranges and 120,000 lb of grade 6 oranges. The average quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $1.50 and incurs a variable cost (consisting of labor costs, variable overhead costs, inventory costs, and so on) of $1.05. Each pound of oranges sold in bags yields a revenue of 50¢ and incurs a variable cost of 20¢. Formulate an LP to help O.J. maximize profit.
Business
1 answer:
siniylev [52]3 years ago
5 0

Answer:

max z = 0.3x_{1} + 0.45x_{2} + 0.3y_{1} + 0.45y_{2}

Constraints

x_{1} +  x_{2} \leq  100,000 (Grade 9 oranges)

y_{1} +  y_{2} \leq  120,000 (Grade 6 oranges)

2x_{1} - y_{1} \geq   0 (Avg oranges in bags)

x_{2}  - 2y_{2} \geq 0 (Avg oranges in juice)

x_{1}\geq  0, x_{2} \geq  0, y_{1}\geq 0, y_{2} \geq 0

Explanation:

Let the variables used be x and y

x representing oranges of grade 9

y representing oranges of grade 6

Now, let x_{1} be the oranges used in each bag in lbs, and x_{2} be oranges used in juice of grade 9 each.

Similarly let y_{1} will represent oranges of grade 6 in bags, and y_{2} will represent oranges in juice of grade 6

Now total oranges sold in bags

= x_{1} + y_{1}

And their revenue in $ = 0.5 revenue - 0.2 expense = 0.3

Total profit from bag shall be

0.3 (x_{1} + y_{1}) = 0.3 x_{1} + 0.3y_{1}

Similarly total oranges in juice shall be

= x_{2} + y_{2}

Profit shall be

$1.50 - $1.05 = $0.45

Total profit from juice shall be

$0.45 (x_{1} + y_{1}) = 0.45 x_{2} + 0.45 y_{2}

Profit shall maximise as

z = 0.3x_{1} + 0.45x_{2} + 0.3y_{1} + 0.45y_{2}

Further constraint 1 shall be

Total amount of  grade 9  oranges used shall be max 100,000 lb

x_{1} +  x_{2} \leq  100,000

Constraint 2

Total amount of  grade 6  oranges used shall be max 120,000 lb

y_{1} +  y_{2} \leq  120,000

Constraint 3

Average quality of oranges sold in bag shall be 7

\frac{9x_{1} + 6y_{1}  }{x_{1} + y_{1}  } \geq 7

Accordingly,

9x_{1} + 6y_{1} \geq   7x_{1} + 7y_{1}

Simplifying:

2x_{1} - y_{1} \geq   0

Constraint 4

Average quality of oranges sold as juice shall be 8

\frac{9x_{2} + 6y_{2}  }{x_{2} + y_{2}  } \geq  8

Accordingly,

9x_{2} + 6y_{2} \geq   8x_{2} + 8y_{2}

Simplifying:

x_{2}  - 2y_{2} \geq 0

Constraints shall be

x_{1}\geq  0\\x_{2} \geq  0\\y_{1}\geq  0\\y_{2} \geq 0

You might be interested in
Dynamic pricing is particularly suitable for internet based companies like amazon who want
Neko [114]
To complete the statement above:<span>


Dynamic pricing is particularly suitable for Internet-based companies like Amazon who want to be responsive to shoppers' desires and marketplace changes. 


Dynamic pricing is a way to deal with setting the cost for an item or administration that is exceedingly adaptable. The objective of dynamic valuing is to permit an organization that pitches merchandise or administrations over the Internet to modify costs on the fly because of market requests.
</span>
5 0
3 years ago
Precision Paper Products produces both paper towels and paper napkins. The production process begins with the receipt and pulpin
alexdok [17]

Answer:

d. The maintenance costs associated with the napkin folding machine.

Explanation:

The cost that required one or more processors to produced a final product is known as joint cost

Here in the given question, the maintenance cost is not considered to be a joint cost as this cost are associated with the paper napkins

Also, the pulping, screening, rolling, etc are considered to be joint cost

Hence, the correct option is d.

4 0
3 years ago
depreciation expense and amortization expense represent ______ items requiring adjustments to net income under the indirect meth
vodka [1.7K]

Based on the information depreciation expense and amortization expense represent non-cash items.

Non-cash items has to do with expense that does not involve paying cash.

Depreciation expense and amortization expense are non cash item as no cash payment is involve.

Although this expense may be included in a company profit or loss account or net income but they do not have effect on a company cash flow.

Non cash item like depreciation expenses and amortization expense often have effect on a company overall net income.

Inconclusion  depreciation expense and amortization expense represent non-cash items.

Learn more about non-cash item here:

<em>brainly.com/question/23158497</em>

5 0
3 years ago
Permanent tax cuts shift the AD curveSelect one:a. farther to the left than do temporary tax cuts.b. not as far to the right as
Phoenix [80]

Answer:

farther to the right than temporary tax cuts

Explanation:

The permanent tax cuts have more impact on consumption spending than temporary one. A permanent tax cut raises the expected lifetime wealth and increases autonomous consumption, thus leading to an upward shift of the consumption function. Consequently the permanent tax cuts shift the AD curve farther to the right compared to the temporary tax cuts.

6 0
3 years ago
The owner of a personal watercraft put an ad for its sale in the paper. Her neighbor saw the ad and told her that he wanted to b
WARRIOR [948]

Answer: D. The neighbor, because obtaining financing was a condition precedent.

Explanation:

Even though it wasn't listed in the written contract, there was the condition precedent that the contract would not be binding unless funding was obtained. Condition precedent is a condition that must happen for a contract to become enforceable.

Funding was not obtained so the contract cannot be enforced. The neighbor would therefore prevail so long as the owner admits that there was indeed a condition precedent.

3 0
3 years ago
Other questions:
  • You are the CEO of a small firm that manufactures office furniture. The decision-making authority in your firm rests almost enti
    6·1 answer
  • Explain how demand for a good can affect demand for a related good.
    11·1 answer
  • Which of the following will most likely give the most assurance concerning the valuation assertion about accounts receivable?A.
    8·1 answer
  • Baka Corporation applies manufacturing overhead on the basis of direct labor-hours. At the beginning of the most recent year, th
    13·1 answer
  • Are the following movements or shifts along/of the demand curve:
    14·1 answer
  • Studies show that OSHA employees fail to properly inspect and regulate many workplaces, primarily because they do not have _____
    13·1 answer
  • The Assembly Department produced 1,000 units of product during March. Each unit required 1.25 standard direct labor hours. There
    14·1 answer
  • The table below lists the insurance options offered by AA Auto Insurance. Calculate the monthly payment for an insurance plan in
    6·2 answers
  • Discuss the concepts of Mean, Median, Mode, and Standard Deviation, including when each should be used, and evaluate the differe
    14·1 answer
  • Listing contracts, disclosures, and seller net sheets all have to do with<br> an understanding of:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!