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Pie
3 years ago
13

A population gathers plants and animals for survival. They need at least 360 units of​ energy, 300 units of​ protein, and 8 hide

s. One unit of plants provides 30 units of​ energy, 10 units of​ protein, and 0 hides. One animal provides 20 units of​ energy, 25 units of​ protein, and 1 hide. Only 27 units of plants and 23 animals are available. It costs 20 hours of labor to gather one unit of a plant and 10 hours for an animal. Find how many units of plants and animals should be gathered to meet the requirements with a minimum number of hours of labor.

Business
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:

0 units of plants and 18 animals.

Explanation:

From the information provided, we know that this population must hunt at least 8 animals, to obtain the hides necessary to survive. When hunting such a quantity of animals, they would also obtain 160 units of energy and 200 units of protein. In terms of costs, this equals 80 hours of labor.

How can the population obtain the additional 200 units of energy and 100 of protein they need to live? They have two options: gather plants or keep hunting animals, of course, respecting the available quantities.

In the former case, at least 10 units of a plant would have to be gathered, this is the only way to obtain the additional units of energy and protein they are looking for. With 8 animals and 10 units of plants, they would have 460 units of energy, 300 of protein and 8 hides, and would have to invest 280 hours of labor.

If the population decided to reduce labor by gathering fewer plants (which is the activity that requires more time) but hunting the same amount of animals, it would obtain 430 units of energy, 290 units of protein and 8 hides. That means that it would not survive because it would not meet the requirement of 300 proteins.

Therefore, the only way to reduce hours of labor without risking survival would be gathering fewer plants but hunting more animals. Following this logic, the optimal amount would be 18 animals and 0 units of plants, as this would allow people to obtain the necessary resources to survive at the minimum cost in terms of labor. Furthermore, it would fit the physical limit of 27 units of plants and 23 animals. This combination would allow to obtain 360 units of energy, 450 of protein and 18 hides by investing only 180 hours of labor.

The attached image shows what happens when the quantity of animals is increased and that of plants is decreased until reaching the optimal combination of 18 animals and no units of plants.

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The Central Hydraulic Supply Company is a distributor of hydraulic supplies in the Midwest. Central handles standard fittings, t
Sidana [21]

Answer:

Check the explanation

Explanation:

The Economic Order Quantity EOQ= SQRT(2*D*Co/Ch),

Where Square root, SQRT, D is the annual demand , Co Cost of order and Ch is the cost of holding

Here annual Demand D =20500

Cost of order Co = 50 $

Cost of holding Ch= 20% of Cost of purchasing = 20%*$14 = $2.8

EOQ = SQRT(2*20500*50/2.8) = SQRT(732142.85) = 855 Units

Minimum TAC can be calculated in two ways

1) With Formula , Minimum TAC = SQRT(2*D*Co*Ch) = $2395.83

2) Without Formula , I.e Cost of Oreder+ Cost of Holding

=(20500/855)*$50 + (855/2)*$2.8 = 2395.83

Where 20500/855 is the number of orders, and 855/2 is the average stock

B) If 500 units purchased at a time

Then Number of orders = 20500/500 = 41 orders in year

Total cost ordering = 41*$50 = $2050

Inventory holding cost = Average inventory * holding cost =

= 500/2*$2.8 = 700

the Total/overall annual cost inventory = $2050+$700 = $2750

3 0
3 years ago
An ______ in the interest rate (r), ceteris paribus, will cause planned investment to ______.
faltersainse [42]

Answer:

An increase in the interest rate (r), ceteris paribus, will cause planned investment to decrease.

Explanation:

An increase in the interest rates determined by the Federal Reserve would imply that the American financial system would pay larger sums of money for direct investments in banks or bonds, which would stop capital investment outside the public financial system, that is, in stocks. private, real estate investments, etc., since money would be invested at a higher profit in safer sectors of the market.

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3 years ago
A couple thinking about retirement decide to put aside $2,100 each year in a savings plan that earns 7% interest. In 10 years th
Marina86 [1]

Answer:

310,588.5

Explanation:

As is not said we can assume the 2,100 each year to be paid at the end of the year, and the 7% to be used as a compunded anually rate. So let´s first think just about the 2,100, as they are regulary payments, they can be seen as an anuity inmediate, the formula is as follows:

s_{n}=p*\frac{(1+i)^{n}-1 }{i}

where sn is the future value of the regular payments, i is the interest rate and n is the number of payments and p is the amount of regular payment so in this particular case we have:

s_{n}=2,100*\frac{(1+0.07)^{30}-1 }{0.07}

s_{n}==198,367.65

So now let´s think on the gift of 29,000 as it is paid on 10 years, there will remain 20 years with an investment rate of 7% compounded anually. so there we have the classic formula of future value

FV=VP*(1+i)^{n}

where FV is the future value, PV is the present value, i is the interest rate per period, and n is the number of periods. Again in this particular case we have:

FV=29,000*(1+0.07)^{20}

FV=112,220.85

so the total amont will be:

total=198,367.65+112,220.85

total=310,588.5

8 0
3 years ago
All the following statements about residual value guarantees are correct about residual value guarantees, except that they:
lozanna [386]

Answer:

c. protect lessees against lessors who abuse leased assets.

Explanation:

The residual value guarantee may be defined as a guarantee that is made to the lessor where the value of an underlying asset will become at least some specified amount at the end of the lease. The guarantee is given by the party unrelated to a lessor.

The residual value guarantee provides to protect the lessor against the lessees who tries to abuse the leased assets. It does not protect the lessees against the lessors.

6 0
3 years ago
Barton, Inc. is a corporation with ordinary net business income of $130,000, dividends of $2,000, a long-term capital gain of $5
Levart [38]
Business net income $130,000
Dividends $2,000
Long-term capital gain $5,000
Short-term capital loss $10,000
$130,000 + $2,000 + $5,000 = $137,000
$137,000 - $10,000 = $127,000

Based on my these figures, Barton’s taxable income is $127,000.
5 0
2 years ago
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