Which expression is an equivalent expression of 12x + 10 + 4y?
1 answer:
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Answer:
- Fantasy: 3 barrels
- Ecstasy: 1 barrel
Step-by-step explanation:
<u>Given</u>
Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50
Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40
In stock are 16 lb of nuts, 10 lb of chocolate
<u>Find</u>
amount of each to maximize profit
<u>Solution</u>
Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...
4x +4y ≤ 16 . . . lb of nuts
3x +y ≤ 10 . . . . lb of chocolate
We want to maximize
50x +40y
The graph shows the feasible region. Its vertices are ...
(0, 4), (3, 1), (3.33, 0)
Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.
d(-3 + x) = kx + 9
- Distribute d inside the parentheses.
-3d + dx = kx + 9
- Subtract kx from both sides.
-3d + dx - kx = 9
- Add 3d to both sides.
dx - kx = 9 + 3d
- Factor x out of dx - kx.
x(d - k) = 9 + 3d
- Divide both sides by d - k.
x =
- If you want to simplify this even more, factor 3 out of the numerator.