I need help understanding the textbook solution from chegg of a homework problem
ID: 444140 • Letter: I
Question
I need help understanding the textbook solution from chegg of a homework problem
I dont understand where is that 12 coming from if p=0 wouldnt it be a=12 or 15
how come we chose 12 instead of 15
5-2. Q. A commercial orchard grows, picks, and packs apples and pears. A peck (quarter bushel) of apples takes for minutes to pick and five minutes to pack; a peck of pears takes five minutes to pick and four minutes to pack. Only one picker and one packer are available. How many pecks each of apples and pears should be picked and packed every hor (60 minutes) if the profit is $3/peck for apples and $2peck for pears? Solve graphically as a linear program and confirm analyticallyExplanation / Answer
The first equation is 4a+5p<=60
if we take apples as zero, 5p = 60, or pears = 12. (as shown in the graph). If we take pears as zero, we get apples as 60/4 = 15. These values of a = 15, p = 12 is being shown by the blue line.
The 2nd equation is 5a+4p<=60
if we take apples as zero, 4p = 60 or pears = 15. If we take pears as zero, we get apples as 60/5 = 12. These values of a = 12, p = 15 is being shown by the red line.
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