Question 6 Cutting squares out of each corner of a sheet of cardboard creates a box...

  

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Question 6 Cutting squares out of each corner of a sheet of cardboard creates a box without a lid. If the cardboard sheet has dimensions of 80 cm x 50 cm, determine the size of each equally sized square to be removed from the cardboard sheets (see figure) in order to maximize the volume of the resultant box. (NOTE: answers will be verified manually). NOTE: No spaces when writing the equations (e.g, 2x^2+5y+(1/z)=20) Formulate the function measuring the volume of the box (in terms of x variable only) 15 pts First derivative of the function Critical Numbers 10 100/3 Is the critical number a feasible solution? (Yes or No) If feasible, give an If feasible, compute interpretation as to V"(x) at the critical whether the critical point number. If not feasible, write N/A will give max or min. If not, write N/A Question 6 Cutting squares out of each corner of a sheet of cardboard creates a box without a lid. If the cardboard sheet has dimensions of 80 cm x 50 cm, determine the size of each equally sized square to be removed from the cardboard sheets (see figure) in order to maximize the volume of the resultant box. (NOTE: answers will be verified manually). NOTE: No spaces when writing the equations (e.g, 2x^2+5y+(1/z)=20) Formulate the function measuring the volume of the box (in terms of x variable only) 15 pts First derivative of the function Critical Numbers 10 100/3 Is the critical number a feasible solution? (Yes or No) If feasible, give an If feasible, compute interpretation as to V"(x) at the critical whether the critical point number. If not feasible, write N/A will give max or min. If not, write N/A

Answer rating: 100% (QA)

Solution Since the size of each Cutting square Then let the side of each square be 2 cm Hence the Ca... View the full answer