The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
Answer: y = -9
Step-by-step explanation:
(-2y) + y - 3 = 6
(-y) - 3 = 6
-y = 9
y = -9
When you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.
The sum of two numbers is zero.
x + y = 0
y = -x
<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.
Twice the smaller number: 2y
3 times the larger number: 3x
</span>Twice the smaller number subtracted from 3 times the larger number is 10.
3x - 2y = 10
-2y = -3x + 10
y = 3/2 x - 5
The equations are:
y = -x
y = 3/2 x - 5
The answer is the first choice.
Answer:
a) 0.7403
b)0.0498
c)0.2240
Step-by-step explanation:
Given: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution
We know that to calculate expected number of flaws use
expected number of flaws =10×0.03 =0.3
a) probability that there are no surface flaws in an auto's interior =P(X=0)=
e^-0.3 =0.7408
b) probability that none of the 10 cars has any surface flaws =(e^-0.3)^10 =0.0498
c) probability that at most one car has any surface flaws =P(X<=1)=P(X=0)+P(X=1)
this means
=10C_0(1-0.7408)^0(0.7408)^10+10C_1(1-0.7408)^1(0.7408)^9=0.2240
