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Oduvanchick [21]
2 years ago
11

Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in

the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for $25 or processed further for $16 to make the end product industrial fiber that is sold for $57. The beet juice can be sold as is for $39 or processed further for $22 to make the end product refined sugar that is sold for $84. How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?
Mathematics
1 answer:
NikAS [45]2 years ago
7 0

Answer:

Results are below.

Step-by-step explanation:

<u>We will take into account the differential costs only. Therefore, the costs of sugar beets and to crush them are irrelevant to decision making.</u>

<u>Beet fiber:</u>

Sold as is= $25

Continue processing= 57 - 16= $41

It is more convenient to process further the beet fiber.

<u>Beet juice:</u>

Sold as is= $39

Continue processing= 84 - 22= $62

It is more convenient to process further the beet juice.

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A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T
Lady_Fox [76]

Answer:

116 units of the first product

380 units of the second product

Step-by-step explanation:

Product 1 has a unit volume of  10 cu ft

Product 2 has a unit volume of 3 cu ft

The truck has 2300 cu ft of space

Product 1 weighs 50 lbs

Product 2 weighs 40 lbs

The truck can carry 21000 lbs

Let X be the units of product 1

Let Y be the units of product 2

The given information can be expressed as:

10X+3Y=2300...(1)

50X+40Y=21000...(2)

Solving the system of equations:

10X+3Y=2300...(1)

10X=2300-3Y

X=(2300-3Y)/10

Substituting X in (2) we have:

50X+40Y=21000

50[(2300-3Y)/10]+40Y=21000

50[(2300/10)-(3Y/10)]+40Y=21000

50[230-(3Y/10)+40Y=21000

11500-(150Y/10)+40Y=21000

11500-15Y+40Y=21000

11500+25Y=21000

25Y=21000-11500

25Y=9500

Y=380

Substituting Y in (1) we have:

10X+3Y=2300...(1)

10X+3(380)=2300

10X+1140=2300

10X=2300-1140

10X=1160

X=116

So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.

8 0
2 years ago
For the given functions f (x), let x0 = 0, x1 = 0.6, and x2 = 0.9. construct interpolation polynomials of degree at most one and
barxatty [35]
Check the attached file for the solution.

6 0
2 years ago
The failure rate for a guided missile control system is 1 in 1,000. Suppose that a duplicate but completely independent control
olga_2 [115]

Answer:

<h2>The reliability is 0.999999.</h2>

Step-by-step explanation:

The failure rate for a guided missile control system is 1 in 1,000.

Hence, the probability that the missile will not fail is \frac{1000 - 1}{1000} = \frac{999}{1000}.

According to the new system, if the first fails, the second can take over.

There are two possibilities, either the first one will be fail or not.

If the first one will not fail, then the probability will be \frac{999}{1000} = 0.999.

If the first one will fail, then the probability will be \frac{999}{1000} \times\frac{1}{1000} = 0.000999.

The reliability of the modified missile is 0.999 + 0.000999 = 0.999999.

6 0
2 years ago
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. Th
Strike441 [17]

Answer: 1.72 kilograms

Step-by-step explanation:

From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.

To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:

= 3.5 kg - 1.78 kg

= 1. 72 kg

8 0
2 years ago
Two types of plastics are suitable for an electronics component manufacturer to use. The breaking strength of this plastic is im
UNO [17]

Answer:

a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)

b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2

c. The power of the test = 1 -

β = 0.998736

d. The sample size is adequate because the power of the test is approximately 1

Step-by-step explanation:

Given

Standard Deviations; σ1 = σ2 = 1.0 psi

Size: n1 = 10; n2 = 12

X = 162.5; Y = 155.0

Let X1, X2....Xn be a random sample from Population 1

Let Y1, Y2....Yn be a random sample from Population 2

We assume that both population are normal and the two are independent.

Therefore, the test statistic

Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)

See attachment for explanation

8 0
1 year ago
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