Right is the instructions, left is the questions. Please post answers handwritten pdfs!! Thank you!!

Q14 (10 points) Find the critical numbers by plugging the derivative equation into your calculator and finding where the derivative is equal to 0 using the ZERO function. + Drag and drop an image or PDF file or click to browse... A manufacturer hires your engineering firm to design a cylindrical soup can that will hold 10 oz (296ml) of soup and will include a Q15 (10 points) plastic lid to reseal the can. The manufacturer seeks the Use the First Derivative Test to determine if the critical number is dimensions in centimeters that minimize total cost of the can. the location of the absolute minimum cost on the interval of The cost for the materials is as follows interest. Material Cost Top of can (thin plastic, removable) $0.00125/cm Curved side of can and bottom $0.0005/cm Label $0.000025/cm' + Drag and drop an image or PDF file or click to browse... (Assume this is an exact fit to the curved side of the can with no overlap) Bottom and side solder $0.005/cm (Assume this is used on the vertical side seam and the circular bottom seam) Glue for the seam of the label and top $0.00025/cm (Assume this is used along the vertical seam of the label and around the top. to seal the plastic overing) Plastic lid $0.002/em' Q16 (10 points) State the dimensions of the can of minimum cost, both radius (Assume the cost of the lip of the lid is included in this) and height. Round to 2 decimal places and include units. Complete the following and show all work: State the function to be optimized, in terms of pi and the radius + Drag and drop an image or PDF file or click to browse... and height of the can using the following as a guide as stated in Q2-Q9. Completely simplify. Q17 (10 points) State the cost of manufacturing one can to the nearest penny. + Drag and drop an image or PDF file or click to browse