1. [-/1 Points] DETAILS TANAPMATH7 10.5.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Minimizing Construction Costs The management of the UNICO department store has decided to enclose a 913 ft area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. If the pine board fencing costs $7/running foot and the steel fencing costs $5/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.) STORE Wood Steel Wood wood side ft steel side ft Need Help? Read It Watch It Submit Answer2. [-/1 Points] DETAILS TANAPMATH7 10.5.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 129 in.", and is constructed using the least amount of material? (Round your answers to two decimal places.) X X in y = in Need Help? Read It3. [-I1 Points] TANAPMATH7 10.5.011. ASK YOUR TEACHER PRACTICE ANOTHER A rectangular box is to have a square base and a volume of 40 R3. If the material for the base costs $0.28/ft2, the material for the sides costs $0.05/it2, and the material for the top costs $0.22/it2, determine the dimensions of the box that can be constructed at minimum cost. length fl: width : height ft Need Help? 4. [-/1 Points] TANAPMATH7 10.5.016. ASK YOUR TEACHER PRACTICE ANOTHER Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 25 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.) radius in height in Need Help? 5. [/1 Points] TANAPMATH7 10.5.018. ASK YOUR TEACHER PRACTICE ANOTHER Designing a Norman window A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a Norman window of perimeter 34 it that will admit the greatest possible amount of light. (Round your answers to two decimal places.) II F! Need Help? 6. [-/1 Points] TANAPMATH710.5.021. ASKYOUR TEACHER PRACTICE ANOTHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $400/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $4 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. passengers What is the maximum revenue? $ What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) dollars per passenger Need Help? f 7. [I1 Points] TANAPMATH7 10.5.022. ASK YOUR TEACHER PRACTICE ANOTHER Prot of a Vineyard Phillip, the proprietor of a vineyard, estimates that the rst 10300 bottles of wine produced this season will fetch a prot of $7 per bottle. However, the prot from each bottle beyond 10300 drops by $0.0004 for each additional bottle sold. Assuming at least 10300 bottles of wine are produced and sold, what is the maximum prot? (Round your answer correct to the nearest cent.) $ What would be the prot/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.) $ Need Help? 8. [-/1 Points] TANAPMATH7 10.5.027. ASK YOUR TEACHER PRACTICE ANOTHER Minimizing Cost of Laying Cable In the following diagram, 5 represents the position ofa power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.40/running foot, locate the point Pthat will result in a minimum cost (solve forx in it). (Round your answer to the nearest whole number.) x: it Need Help