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Determine how many of each kind of ski should be produced to achieve a maximum profit

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Question

A manufacturer of skis produces two​ types: 

downhill and​ cross-country. The times required for manufacturing and finishing each ski are given in the following table.

Downhill

​Cross-country

Manufacturing time per ski

1.5

1.5 hours

hours

1

1 hour

hour

Finishing time per ski

0.5

0.5 hour

hour

0.5

0.5 hour

hour

The maximum total weekly hours available for manufacturing and finishing the skis are 36

36 hours and 15

15 ​hours, respectively. The profits per ski are ​$90

90 for downhill and ​$40

40 for​ cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit.

 
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Find the dimensions of the rectangle

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Question

the length of a rectangle is 3m less than twice the width, and the area of the

rectangle is 27m^2

. Find the dimensions of the rectangle.

 
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. Find the rental cost for each movie and each video game

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Question

One month Rita rented 8 movies and 4 video games for a total

of $41

The next month she rented 3 movies and 2 video games for a total of $18

. Find the rental cost for each movie and each video game

 
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I cannot seem to to figure out the answers to the following math questions

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Question

I cannot seem to to figure out the answers to the following math questions.
style=”color:rgb(0,0,0);background-color:transparent;”>A student receives the following​ grades, with an A worth 4​ points, a B worth 3​ points, a C worth 2​ points, and a D worth 1 point. What is the​ student’s weighted mean grade point​ score?B in 3-three​-credit classesD in 1 three​-credit classA in 1 two​-credit classC in 1 two​-credit class
Mean grade point score is _____

Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed.
41 46 54 55 37 37 41 46 54 35 55 41 52
​(a) Find the sample mean and sample standard deviation.​(b) Each employee in the sample is given a 66​% raise. Find the sample mean and sample standard deviation for the revised data set.​(c) To calculate the monthly​ salary, divide each original salary by 12. Find the sample mean and sample standard deviation for the revised data set.​(d) What can you conclude from the results of​ (a), (b), and​ (c)?

 
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