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 - 5x²We 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 - 10xThe 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: 69
Step-by-step explanation:
Answer:
Step-by-step explanation:
a² + b² = c²
a² + (21.5)² = (31.9)²
a² + 462.25 = 1017.61
a² = 555.36
a = 23.6
The equation 6 | x | + 25 = 15 can't be solved because the output would be a negative. Let me break it down a little bit.
This is your original equation:
6 | x | + 25 = 15
First step would be to move the 25 over.
6 | x | = -10
Above is what we would get from subtracting the 25 over. Now we just have to get the variable by itself by dividing the 6.
| x | = -1 2/3
No matter what X equals, even if it equals -1 2/3, there are absolute value brackets surrounding the variable. So the X is going to be a positive number regardless of the number X equals. Therefore the equation cannot ever be true. I hope this helped!
Answer:
t's 11 weeks because if you multiply 20*11 you get 220 then add 80 and you have $300
Step-by-step explanation: