Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou
1 answer:
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of hours Eli worked
y ----> the number of hours Samantha worked
we know that
Eli and they ironed 400 shirts between them
so
-----> equation A
Samantha worked 2 more hours than Eli
so
----> equation B
solve the system by substitution
substitute equation B in equation A
solve for x
Find the value of y
substitute the value of x in equation B
therefore
The number of hours Eli worked was 6 and the number of hours Samantha worked was 8
You might be interested in
Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is
Let y be the newspaper they sell, then the income will be
Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be
Plugging the value of y in the first expression we have that the income will be
Then the income is given by the function
To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,
no we equate the derivative to zero and solve for x.
This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then
Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.
With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.
Therefore the price to maximize the income is $0.35+$0.45=$0.80.