Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
This Significant Figures Rounding Calculator rounds a given number to the amount of significant digits that you specify. This rounding number which you specify cannot be a negative number and it must be greater than 0. A number with 0 significant digits would be 0.
Step-by-step explanation:
This equation<span> has x terms on both the left and the right. To solve an </span>equation<span> like this, you must first get the variables on the same side of the </span>equal<span> sign. You can subtract 5x on each side of the </span>equal<span> sign, which gives a new </span>equation<span>: x + </span>5<span> = 10. hope this helps</span>
