11.25 seconds, if it takes you 1 second to run 8 feet. This is not realistic.
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
7.60, 1.90 times 3 is 5.7 and then you add alicias money to that and it makes 7.6
