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.
hello :<span>
<span>the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
</span></span><span>line of symmetry x = h
</span><span>The minimum or maximum value is : k
</span>a possible equation of this parabola is : f(x) = a(x+5)²-7
Answer:
The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.
Step-by-step explanation:
According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.
If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.
We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.
Doing the maths 300mg × 25%=7500mg%,
⇒ 7500mg% ÷ 200mg = 37,5%.
<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to fin x
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
7^2 + 24^2 = x^2
49+ 576 = x^2
625 = x^2
Take the square root of each side
sqrt( 625) = sqrt(x^2)
25 = x
Answer: I believe it’s 1,-1. not 100% but pretty positive it is! hope this helps!
