Content X A 271-4.7 Optimization - MAT 27 X + C webassign.net/web/Student/Assignment-Responses/last?dep=31806940 M Gmail YouTube Maps s ms7264723 ~ Ho... O World Religions-C... E My Shelf | RedShelf 10. [-/1 Points] DETAILS SCALCET9 4.7.019.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If 10,800 cm of material is available to make a box with a square base and an open top, find the largest possible volume (in cm ) of the box. cm Submit Answer 11. [-/1 Points] DETAILS SCALCET9 4.7.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A box with an open top is to be constructed from a 11 ft by 10 ft rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the longer sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume (in fts) that such a box can have. (Round your answer to two decimal places.) Ift 3 Submit Answer 12. [-/1 Points] DETAILS SCALCET9 4.7.021.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Let w denote the width of the base. Find a function in the variable w giving the cost C (in dollars) of constructing the box. C(W) = Find the derivative of C. C'(w) = Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.) Submit Answer 13. [-/1 Points] DETAILS SCALCET9 4.7.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 864 cm , find the dimensions (in cm) of the poster with the smallest area.Content X A 271-4.7 Optimization - MAT 27 X + C webassign.net/web/Student/Assignment-Responses/last?dep=31806940 M Gmail YouTube Maps s ms7264723 ~ Ho... O World Religions-C... E My Shelf | RedShelf Submit Answer 14. [-/1 Points] DETAILS SCALCET9 4.7.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose a package to be mailed using a certain postal service may not measure more than 132 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) Find the greatest volume (in inches cubed) of a rectangular box with square base that may be mailed. length length girth girth in 3 Submit Answer 15. [-/1 Points] DETAILS SCALCET9 4.7.055. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach point , 1 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, how far (in km) downstream from C should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows. Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for it!) A km from C Submit