Use the information given here to answer the following questions: manufacturing: sales revenue the price of manufacturing multiplied by the quantity of manufacturing, is 150=p m ⋅q m =150 payments to labor the wage multiplied by the quantity of labor employed in manufacturing, are 100=w⋅l m =100 payments to capital the rental rate on capital multiplied by the quantity of capital used in manufacturing, are 50=r k ⋅k=50 agriculture: sales revenue the price of agriculture multiplied by the quantity of agriculture, is 150=p a ⋅q a =150 payments to labor the wage multiplied by the quantity of labor employed in agriculture, are 50=w⋅l a =50 payments to land the rental rate on land multiplied by the quantity of land used in agriculture, are 100=r t ⋅t=100 holding the price of manufacturing constant, suppose the increase in the price of agriculture is 20% and the increase in the wage is 10%. determine the impact of the increase in the price of agriculture on the rental on land and the rental on capital. rental on land = % rental on capital = %

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?

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.

About 20 years ago, sturdy light, inc., produced a sturdy, lightweight backpack in a market that was rapidly growing. sturdy light became a leader in this market. eventually, the backpack market reached the maturity stage and slowed down. however, by this time, sturdy light had developed a strong brand name and continued to steadily lead the market. which of the following describes this scenario? a. sturdy light was a star that developed into a cash cow. b. sturdy light was a question mark that developed into a star. c. sturdy light was a dog that developed into a question mark. d. sturdy light was a cash cow that developed into a star.