When a firm produces one more unit of output the total revenue they earn increases from $1,086 to $1,194, and their total cost of production increases from $828 to $903. When this last unit of output was produced, what was the change in profit? Enter a whole number with no dollar sign. Enter a negative sign if appropriate.

Abarbecue sauce producer sells their product in a 20-ounce bottle. their historical process mean has been 20 ounces with a standard deviation of 0.25 ounces. if their tolerance limits are set at 20 ounces plus or minus 1 ounce, what is the process capability ratio of the bottle filling process? (5 points)

Atoy manufacturer makes its own wind-up motors, which are then put into its toys. while the toy manufacturing process is continuous, the motors are intermittent flow. data on the manufacture of the motors appears below. annual demand (d) = 50,000 units daily subassembly production rate = 1,000setup cost (s) = $85 per batch daily subassembly usage rate = 200carrying cost = $.20 per unit per year(a) to minimize cost, how large should each batch of subassemblies be? (b) approximately how many days are required to produce a batch? (c) how long is a complete cycle? (d) what is the average inventory for this problem? (e) what is the total annual inventory cost (holding plus setup) of the optimal behavior in this problem?

As a group is leaving, you ask them if they had a good experience at the restaurant. they mention that they had poor service and their food was cold. a. apologize and ask them to give the restaurant another chance in the future. you tell them that guests usually have a great experience here. b. apologize then ask for the server’s name and immediately notify the manager after they leave. c. apologize for the bad experience and ask them to wait as you call the manager to talk to them. d. apologize for the bad experience and encourage them to complete the customer service survey. this feedback will ensure other guests do not have the same experience.