The answer is: g= 6y+8-9/y
To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50
X=amount of money woman has
n=pounds of sugar
Store #1: 8.5*n=x+30
Store #2: 8*n=x-25
multiply #2 by 17/16 to make coefficient of n same as in #1
2: 8.5*n=17/16(x-25)
Subtract #2 from #1
0=x+30-17/16(x-25)
x+30-17x/16 +25*17/16
x/16=30+25*17/16
x=480+425
=905 cents
=$9.05