Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows: Rental Class Super SaverDeluxeBusiness RoomType I (Mountain View)$30$35- Type II (Street View)$20$30$40 Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 130 rentals in the Super Saver class, 60 in the Deluxe class, and 50 in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms and 120 Type II rooms. (a)Formulate and solve a linear program to determine how many reservations to accept in eac

Wilson center is a private not-for-profit voluntary health and welfare entity. during 2017, it received unrestricted pledges of $638,000, 65 percent of which were payable in 2017, with the remainder payable in 2018 (for use in 2018). officials estimate that 14 percent of all pledges will be uncollectible. a. how much should wilson center report as contribution revenue for 2017? b. in addition, a local social worker, earning $20 per hour working for the state government, contributed 600 hours of time to wilson center at no charge. without these donated services, the organization would have hired an additional staff person. how should wilson center record the contributed service?

Solomon chemical company makes three products, b7, k6, and x9, which are joint products from the same materials. in a standard batch of 320,000 pounds of raw materials, the company generates 70,000 pounds of b7, 150,000 pounds of k6, and 100,000 pounds of x9. a standard batch costs $3,840,000 to produce. the sales prices per pound are $10, $14, and $20 for b7, k6, and x9, respectively. (a) allocate the joint product cost among the three final products using weight as the allocation base. (b) allocate the joint product cost among the three final products using market value as the allocation base. (c) allocate the joint product cost among the three final products using weight as the allocation base.

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e. g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.