Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
Answer:
j = 5
Step-by-step explanation:
16j + -6j + -12j = -10
Combine like terms
10j -12j = -10
-2j = -10
Divide by -2
-2j/-2 = -10/-2
j = 5
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
You have to buy 200 more juul pods.
Step-by-step explanation;
400-200 = The amount of juul pods needed for every juul to have a pod.
400-200 = 200
Answer:
just put like what oh yea put 72
