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Alla [95]
2 years ago
8

A manufacturer of skis produces 2 types: downhill and cross country. Times for manufacturing each ski are given

Mathematics
1 answer:
hjlf2 years ago
3 0

To maximize profit 14 downhill and 24 cross country should be produced.

<h3>How to find the intersecting point?</h3>

Let X represent the number of downhill skis and Y represent the number of cross country skis.

Manufacturing each ski: Downhill 3 hours Cross Country 2.5 hrs

Finishing time per ski: Downhill 0.5 hours Cross Country 0.5 hours

Total manufacturing time taken = (3)x+ (2.5+) y = 3x +2.5y ≤ 102

total finishing time taken = 0.5x+0.5 y ≤ 19

Profit function

Z = 80x + 90y

The objective is to maximize Z

By solving the two equations we get an intersecting point

(x,y) = (14,24)

In the feasible region corner points are (0, 36) (41,0)

So to maximize profit 14 downhill and 24 cross country should be produced.

Learn more about maximizing profit;

brainly.com/question/14642685

#SPJ1

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The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January
pav-90 [236]

Answer:

-54 degrees F

Step-by-step explanation:

The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January 24, 1922.


The temperature is below zero so it is negative,

-54 degrees F

3 0
3 years ago
What is the vertex of the graph of the function f(x) = x² + 8x - 2?
chubhunter [2.5K]

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

6 0
2 years ago
Factor out the GCF from the terms of the polynomial –4y5 + 6y3 + 8y2 – 2y. A. –2y4 + 3y2 + 4y – 1 B. y(–4y4 + 6y2 + 8y – 2) C. 2
andreyandreev [35.5K]

Answer:

Option D) -2y(2y^4-3y^2-4y+1) is correct

Therefore -4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)

Step-by-step explanation:

Given polynomial is -4y^5+6y^3+8y^2-2y

To factorise the given polynomial by taking out the common terms of the given polynomial :

  • -4y^5+6y^3+8y^2-2y
  • =2y(-2y^4+3y^2+4y-1) ( here 2y is GCF common term so taking outside the terms of the polynomial )
  • =-2y(2y^4-3y^2-4y+1) ( now taking (-) outside )

Therefore -4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)

Option D) -2y(2y^4-3y^2-4y+1) is correct

8 0
3 years ago
Sole the equation problem
atroni [7]
The answer is 100!!!
6 0
2 years ago
Read 2 more answers
4 - t = 3(t - 1) - 5
Anika [276]

Answer:

T=3

Step-by-step explanation:

4-T = 3(t-1) -5

4-t=3T -3-5

^^ distribute

-T=3T-12

^^combine like terms and subtraction prop. of equality.

-4T=-12

^^ subtraction property of equality

(-4T=12)/-4

^^ thats just getting rid of the -sign, then its also simpliying

T=3

4 0
3 years ago
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