A firm believes a product’s sales volume (S) depends on its unit selling price (P) as S = $100 – P. The production cost C is $850 + 9S. Determine the sales volume (S) at which the firm’s profit is a maximum. (Hint: calculate derivative of the profit function with respect to the price)

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing​ company: work in process inventory ​$0 raw materials inventory $ 29 comma 000 finished goods inventory $ 40 comma 900 additional​ data: 1. actual manufacturing overhead for january amounted to $ 62 comma 600. 2. total direct labor cost for january was $ 63 comma 600. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no.​ 151, for which total direct labor charges were $ 5 comma 700 ​(1 comma 000 direct labor​ hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 300. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 200. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for​ january

Budget in this final week, you will develop a proposed budget of $150,000 for the first year of the program and complete the final concept paper for the proposed program due for senior management review. the budget should identify the program's anticipated expenses for the year ahead. budget line items should be consistent with the proposed program and staffing plan. using the readings for the week, the south university online library, and the internet, complete the following tasks: create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a microsoft excel spreadsheet. you may transfer your budget to your report. justify the cost for each item of the proposed budget in a budget narrative.

Mr. beautiful, an organization that sells weight training sets, has an ordering cost of $40 for the bb-1 set. (bb-1 stands for body beautiful number 1.) the carrying cost for bb-1 is $5 per set per year. to meet demand, mr. beautiful orders large quantities of bb-1 seven times a year. the stockout cost for bb-1 is estimated to be $50 per set. over the past several years, mr. beautiful has observed the following demand during the lead time for bb-1: demand during lead time probability40 0.150 0.260 0.270 0.280 0.290 0.1total 1.0the reorder point for bb-1 is 60 sets. what level of safety stock should be maintained for bb-1?