Given:
The expressions are:
To find:
The product of each expression.
Solution:
According to the distributive property of multiplication over addition, we get
The first expression is:
Using distributive property of multiplication over addition, we get
Therefore, the product of is
.
The second expression is:
Using distributive property of multiplication over addition, we get
Therefore, the product of is
.
Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.
