Answer:
66.69
Step-by-step explanation:
You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.
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:
First member-> 1 -> "1 one"
Second member-> 11 -> "2 ones"
Third member-> 21 -> "1 two, 1 one"
Fourth member -> 1211 -> "1ones, 1 two, 2 ones"
Fifth member-> 111221 -> "3 ones, 2 twos, 1 ones"
Sixth member-> 312211 -> "1three, 1 one, 2 twos, 2 ones"
Seventh member-> 13112221 ->" 1 one, 1 three, 2 ones, 3 twos, 1 one"
Step-by-step explanation:
Hello! First, let's get some important information:
Luke works in the:
- week → grocery store → $16/hour
- weekend → nursery → $22/hour
Now, let's analyze the questions:
<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>
To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:
<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>
<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>
You'll just have to just add the value in each of the jobs:
$80 + $176 = $256
<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>
Adding the values of each job:
$16g + $22n
Hope this helps!
