2) you are told to find the maximum area. A= 2xy. Fencing = 3x + 4y = 360.... solve for one variabe: y= 90 - (3/4)x..... so plug that into primary and get: 180x-3/2x^2. Take derivative and set equal to zero to get x = 60. plug that back into the y= formula, and you have your dimensions.
Optimization- first set up primary and secodary equation. Primary being the one they want you to maxamimize or minimize. Once you have that you then solve the secondary for a variable. Once you have the variable solved you plug into the primary and take the derivitave and then set it equal to zero. Solve for that variable, then once you have it plug back into the secondary and you are left with two variables solved. Then you perform which ever operation your primary wants you to, ei-area, volume, perimiter....
2) you are told to find the maximum area.
ReplyDeleteA= 2xy. Fencing = 3x + 4y = 360.... solve for one variabe: y= 90 - (3/4)x..... so plug that into primary and get: 180x-3/2x^2. Take derivative and set equal to zero to get x = 60. plug that back into the y= formula, and you have your dimensions.
Optimization- first set up primary and secodary equation. Primary being the one they want you to maxamimize or minimize. Once you have that you then solve the secondary for a variable. Once you have the variable solved you plug into the primary and take the derivitave and then set it equal to zero. Solve for that variable, then once you have it plug back into the secondary and you are left with two variables solved. Then you perform which ever operation your primary wants you to, ei-area, volume, perimiter....
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