Question

and width 17 eacht 15. A 2000 ft rectangular garden will be bordered with a wooden fence costing $25/ft. A wire fence costing $10/ft will partition the interior into 4 sections, the length of the garden must be at least 20 ft long, find the dimensions of the garden that will minimize the cost of the fencing Restrictions: Assign Variables (with restriction on x): Critical Points: Maximize or Minimize Cost Primary Equation (in terms of x): Determine Extrema: Answer:

Answer 1

13. A 2000 ft rectangular garden will be bordered with a wooden fence costing $25/ft. A wire fence costing $10/ft will partition the interior into 4 sections, the length of the garden must be at least 20 ft lang, find the dimensions of the garden that will minimize the cost of the fencing Assign Variables (with restriction on x): Restrictions: det a be the length & be the x zoft width of the rectangular arden, 25 shown in ffure. Maximize or Minimize? 03 Critical Points Primary Equation in terms of x): Cost function Co= 2 (2+4)=25 BYCID) 502+809 Determine Extrema 257x + 80 (Berane) Answer: - anam = 25/2 t. for critical value acco so cime de son (sox + 16 ope) = 0 → 58 - ? sono co 400 = 482 ft v Now, y= 2000 = 2582 ft The dimensions of the rectan fribar farded 20(c²(x) >o) for oninimum cast are? length (x) = 4002 ft of width (y) =25ſz ft. 402