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:
Step-by-step explanation:
We need to find the LCM of 12 and 9.
<u>Their LCM is:</u>
- LCM(12, 9) = 2*2*3*3 = 36
Number of light fixtures and light bulbs is 36.
<u>Number of packages will be:</u>
- 36/12 = 3 and
- 36/9 = 4 respectively.
1/x + 1/y = 8
x + y = 8
6/x + 12/y = 72n
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer:
408
Step-by-step explanation:
Volume = length times width times height
So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height
Knowing this information we can continue
If you think of a regular cube, you can split it diagonally and then it would be 2 triangles
So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.
If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.
Sorry is this was a little confusing but that's the best I can explain it.
Hope that helped and have a great day!
Step-by-step explanation: