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alekssr [168]
3 years ago
9

EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell

s for $46. The deluxe version requires $38 in capital and 6 hours of labor and sells for $55. How many of each type of bag should the company produce in order to maximize their revenue if they have $2,100 in capital and 280 labor-hours available?
The company should make ___ regular laptop bags and ___ deluxe bags to maximize revenue.
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

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Answer:

Divide C values/T values that will tell if it is constant or not and that is the reason.

8 0
3 years ago
Which expression has a value that is equivalent to the given expression when n = 8?
mrs_skeptik [129]

Q1.

Put the value of n = 8 to the expressions:

2n + 10 → 2(8) + 10 = 16 + 10 = 26

A: 3n → 3(8) = 24 ≠ 26

B: 2(n + 5) → 2(8 + 5) = 2(13) = 26   :)

C: n² + 5 → 8² + 5 = 64 + 5 = 69 ≠ 26

D: 10n + 2 → 10(8) + 2 = 80 + 2 = 82 ≠ 26

<h3>Answer: B: 2(n + 5)</h3>

Q2.

x = 3, y = 2

L = 5y² - 2x → L = 5(2)² - 2(3) = 5(4) - 6 = 20 - 6 = 14

R = x² + ... → R = 3² + ... = 9 + ...

A: x² + x → 9 + 3 = 12  NOT

B: x² + y → 9 + 2 = 11   NOT

C: xy → 9 + (3)(2) = 9 + 6 = 15 YES

D: 2y → 9 + (2)(2) = 9 + 4 = 13   NOT

5y² - 2x < x² + xy

L = 14, R = 15, L < R    CORRECT

<h3>Answer: C: xy</h3>

Q3.

3 + 6² = 3 + 36 = 39

A: 3³ + 12 = 27 + 12 = 39  NOT

B: 5² + 4² = 25 + 16 = 41 > 39    YES

C: 2³ + 5² + 6 = 8 + 25 + 6 = 39    NOT

D: 2³ + 14 + 17 = 8 + 14 + 17 = 39    NOT

<h3>Answer: B: 3 + 6² < 5² + 4²</h3>
6 0
3 years ago
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf
4 0
3 years ago
Read 2 more answers
Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to
Oliga [24]
<h3>Fraction of square tiles  = (\frac{4}{25})   = 0.16</h3><h3>Fraction of rectangle tiles  = (\frac{17}{50})   = 0.34</h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles  = 34

The total number of rectangle tiles  =  16

Now, calculating the total fraction of square tiles:

The fraction of square tiles  = \frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}}  = \frac{16}{100}   = \frac{4}{25}

Also, solving the fraction, we get \frac{4}{25}  = 0.16

So, the decimal value of square tiles  = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles  = \frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}}  = \frac{34}{100}   = \frac{17}{50}

Also, solving the fraction, we get \frac{17}{50}  = 0.34

So, the decimal value of rectangle tiles  = 0.34

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3 years ago
Is this equation linear or nonlinear? 5xy + 4 = 9
guajiro [1.7K]

It is definitely linear

6 0
3 years ago
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