Answer:
- <u><em>P = 0.40x + 0.50y</em></u>
Explanation:
The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.
In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.
Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.
Then:
- using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and
- using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.
The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:
That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.
There are no like terms, so you cannot simplify it any farther
Answer:
26 boxes can be carried in the elevator
Step-by-step explanation:
If each box weighs 76 pounds and the elevator supports up to 2000 pounds we have to divide what the elevator supports by the weight of the box to know the number of boxes
2000 / 76 = 26.3157
we are going to see only the whole part of the number since we cannot carry a fraction of box
26 boxes
26 boxes can be carried in the elevator
Step-by-step explanation:
given
( x³ -64)/ x - 4
= (x³ - 4³) / x - 4
= (x - 4) ( x² + 4x + 16 ) / (x - 4)
( x- 4 ) will be cancelled out then
= x² + 4x + 16
Answer:
b=2
Step-by-step explanation:
hope this helps
