Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
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Answer:
The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.
Step-by-step explanation:
It is given 4 dozen pairs of gloves for $56.16.
So, unit price = Divide the price by number of pairs of gloves.
And 1 dozen =12
So 4 dozen =4*12=48 pairs of gloves
So, to find unit rate divide 56.16 by 48.
Unit price =
So, the error is she didn't convert the dozen to units.
That made mistake in finding unit price.
Answer:
A = 82.53 in²
Step-by-step explanation:
We use the circumference equation C = 2πr and the area equation A = πr².
Using the first equation and the given circumference (32 in), we find the radius of the circle, and then use this result to find the area of the circle.
C 32 in
C = 2πr becomes r = ----------- and here r = ---------- = 5.10 in
2π 6.28
Then the area of the circle is A = πr², which here is A = 3.14(5.10 in)², which, when rounded off to two decimal places, is A = 82.53 in²
Answer:Teo's age = 7 years ,Richard's age = 19 years
Step-by-step explanation:
Step 1
Let Teo's age be represented as x
Such that Richard 's age = 5 + 2x
and their combined ages equaling 26 can be expressed as
x + 5+ 2x = 26
Step 2 --- SOLVING
x + 5+ 2x = 26
3x+ 5= 26
3x= 26-5
3x= 21
x = 21/3
x = 7
Teo's age = 7 years
Richard's age = 5+2x= 5 + 14= 19 years
Not sure about the others but
b) 8,192
the pattern is multiplying by 8 each time for b
