9514 1404 393
Answer:
R80: 12
G150: 54
Best Profit: $582
Step-by-step explanation:
Let x and y represent the numbers of R80 and G150 players, respectively. The constraints of the problem are ...
0 ≤ x ≤ 18 . . . . . a maximum of 18 R80 can be built
0 ≤ y . . . . . . . . . only non-negative numbers can be built
9x +3y ≤ 270 . . . . ounces of plastic used cannot exceed 270
2x +6y ≤ 348 . . . . ounces of metal used cannot exceed 348
The objective is to maximize the profit function ...
P(x, y) = 8x +9y
The attached graph shows profit is a maximum of $582 per week when 12 R80 players and 54 G150 players are produced.
_____
Since the maximum profit is at a value of x less than 18, we didn't bother to graph that constraint.
The expression for (r-s)(x) is found by subtracting s from r. That difference is
. The expression for (r+s)(x) is found by adding them, which is
. Now we are told to evaluate (r*s)(x) which means they want us to multiply those and state the "new" expression that results.
. There you go!
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as the solution to part A (or part A itself) is not given. To solve this, I will assume a value to the supposes solution to part A.</em>
<em></em>
From the question:
1 square foot is sold at $3.
This implies that:
p square foot will be sold at $3p.
So, total sales can be calculated using:
Now assume that p is 10 square feet (from part A).
The total will be:
You plug 8 into where n is so it's 8-5
8-5= 3 so the answer is A
Answer: 512 cm³
Explanation: Since the length, width, and height of a cube are all equal,
we can find the volume of a cube by multiplying side × side × side.
So we can find the volume of a cube using the formula v = s³.
In the cube in this problem, we have a side length of 8 cm.
So plugging into the formula, we have (8 cm)³
or (8 cm)(8 cm)(8 cm), which is 512 cm³.
So the volume of the cube is 512 cm³.
