3. The owner of a ranch has 6000 square yards of feneing to enclose gruzing land that is nubdivided it into 3 parts by m

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3 The Owner Of A Ranch Has 6000 Square Yards Of Feneing To Enclose Gruzing Land That Is Nubdivided It Into 3 Parts By M 1 (30.28 KiB) Viewed 38 times

3. The owner of a ranch has 6000 square yards of feneing to enclose gruzing land that is nubdivided it into 3 parts by means of fencen running parallel to the sides, as diagramed. Let x be the total width and y be the height in the diagram. Find x and y to maximize the amount of land that can be enclosed. (a) (1 point) Label the diagram with x and y. (b) ( 1 point) Write the function to be maximined (the objective function) is terias of x and y. (c) (1 point) Write the gived inforruation as an equation (the construint equation) in terms of x and y. (d) (1 point) Write the function to be optimized in terms of one viriable. (e) (1 point) Find the critical number. (f) (1 point) Show work to verify the critical number corresponds to a minimam. (5) (1 point) How should the rancher build their fences? (Ronand to nearest foot.) (h) (1 poít) What is the macimam arein? (Poosbd to nearost dollar.)