please show all of the work for the math

Background: Wes and Steve are partners in a lunch truck company that operates a central kitchen and operates lunch trucks that travel to various locations in Philadelphia, Monday-Friday. The lunch trucks deliver pre-packaged healthy sandwich and salad alternatives, fresh fruit and pre-packaged low-fat desserts and canned beverages. Together, the partners have to make many decisions about how to structure the operational aspects of the business so that it is cost effective, efficient and profitable. Analysis 1: Wes and Steve purchase many ingredients to produce the lunch truck foods in their central kitchen. In particular, they buy canned garbanzo beans for their homemade hummus production. The kitchen uses 100 cans each week when preparing salads and has estimated that carrying costs for the beans are $.60/ can/year and ordering costs are $15 per order. The company operates 350 days/year. Use this information to answer the questions on page 2. Analysis 2: Wes and Steve also make homemade hot sauce for use in their food manufacturing process. The sauce, which is NOT perishable, is used at a steady rate of 350 bottles/month. The sauce can be produced at a rate of 80 bottles/day. The kitchen (where the sauce is used) operates 300 days a year. Setup costs are $25 for a run of sauce, and holding costs are $1.50 per bottle. Set up time for each production run of hot sauce is 1 day. NOTE: You must calculate D and u for this problem. Use data provided to calculate D first. Then use D and \# days info to calculate u., This is similar to what we discussed in class. Use this information to answer the questions on page 3. Important Notes: - YOU MUST ROUND TO TWO (2) decimal points. - If math is required, you must show all work or you will have points deducted. You cannot just write answers. - You must write neatly and NOT in red ink. - You are not permitted to cross out answers; use white-out or start over. - If I cannot read your work, you will recelve zero points. - CARRY THROUGH ERRORS COUNT and points will be deductedl Double check your work. Instructions: Print thisext page, reproduce by hand or complete via computer. Regardless, you must note answers on the line provided ONLY. For math Qs: show relevant math and write answer on line. Round to 2 decimal pointsH! When completed: Take a photo of this page only, save file and upload via the corresponding Assignment link in Canvas by the due date. Remember: No, Heic files are permitted. ANALYSIS 1 Question/WorkAres Must write answer here: 1. What is the optimal order quantity of cans they should order to meet demand? (1 pt) Quantity: 2. What is the total inventory cost for this quantity? (1 pt) Total Cost: 3. How many times per year should they order? (1 pt) *f of Times: 4. How far apart should they space the orders to ensure that they are minimizing carrying costs? (1 pt) Days Apart 5. Their canned goods source has offered a quantity discount schedule to Wes & Steve as shown below. Using this information (and showing ALL relevant math), determine the quantity they should order to minimize total costs. (Math =3pts; answer =1pt ) 1. How many bottles should Wes produce to minimize inventory costs (approximately)? (2 pts) 2. How long will it take to produce this quantity? (1 pt) 3. How long will this production quantity last them? (1 pt) 4. What is the total inventory cost for this production quantity? (Note: you may be off