Answer:
a) P(x)=14x-224,000 and b) P(21,000)=70,000.
Step-by-step explanation:
a.) Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
The company's profit is given by its revenue minus the production cost. Then, the profit function P(x) will be given by

b.) Find the company's profit if 21,000 radios are produced and sold
To obtain the company's profit we just need to substitute the value given (x=21,000) in the formula 1). Therefore,
.
Answer:
the area of the garden is 9 square kilometers
Step-by-step explanation:
4s=12
s=3
A= 3*3 = 9
Volume of Cylinder
= πr²h
= (3.14)(5)²(16)
= 1256 cm³
Volume of Cone
= 1/3πr²h
= 1/3(3.14)(4)²(12)
= 200.96 cm³
Volume of air space
= Volume of Cylinder - Volume of Cone
= 1256 - 200.96
= 1055.04 cm³
≈ 1055 cm³ (nearest whole number)
Answer:
X= -12 +6√10
X= 6.973
Step-by-step explanation:
Volume of the box= (36-2x)(24-2x)x
Volume of the box
=( 864 -96x -4x²)x
But 864 -96x -4x²
=216 - 24x-x²
Solving for x quadratically
X= (24+12√10)/-2
X= -12 -6√10
X= -30.97
Or
X= (24-12√10)/-2
X= -12 +6√10
X= 6.973
X will definitely be a positive number
So X= -12 +6√10
X= 6.973