Marigold Company is a multiproduct firm. Presented below is information concerning one of its products, the Hawkeye.

(a)

Calculate average-cost per unit. (Round answer to 4 decimal places, e.g. 2.7613.)

Find all of these:

a) Periodic System, FIFO cost flow, (b) Perpetual System, FIFO Cost Flow
(c) Periodic System, LIFO Cost Flow (d) Periodic, LIFO cost flow, (e)Periodic, weighted avg cost flow, (f) perpetual system, moving average cost flow.

Market for Garden Hoses

Part 1: Without government intervention, what is the equilibrium price and quantity for garden hoses?

Part 2: Suppose that the government sets a price ceiling at $2. (a) Would there be a shortage or surplus? (b) If there is a shortage or surplus, how large is the shortage or surplus?

Part 3: Suppose the government sets a price ceiling at $4. (a) Would there be a shortage or surplus? (b) If there is a shortage or surplus, how large is the shortage or surplus?

Part 4: Suppose the government sets a price floor at $4. (a) Would there be a shortage or surplus? (b) If there is a shortage or surplus, how large is the shortage or surplus?

8. To monitor the manufacturing process of rubber support bearings used between the super- structure and foundation pads of nuclear power plants, a quality control engineer randomly sampled 100 bearings from the production line each day over a 15-day period. The bear- ings were inspected and the number of defects was found. The number of defects in your personalised data set are as follows:

        1, 12, 3, 4, 4, 2, 4, 5, 4, 1, 9, 3, 3, 2, 2
   

   1. (a) Use R to plot the appropriate control chart to check if the proportion of non-conforming units was in control.

   2. (b) Using manual working, verify that the control limits are what you expect them to be.

   3. (c) Assuming the assignable cause of variations have been found, construct a control chart that can be used to monitor the non-conforming proportion on future days of the process.

1) Timber formwork and shoring support a cast-in-place concrete slab during curing. The 9 inch concrete slab is placed on the ¾ inch plywood supports that are supported by 2 x 4 joists spaced 16 inches apart. 4 x 6 stringers spaced 36 inches apart support these joists. The shores directly underneath the stringers are 4 x 4 and are spaced at 5 ft intervals along the stringers. The lumber is No. 2 Douglas Fir Larch. The concrete has a specific weight of 150 pcf and a construction live load of 50 psf. Limit all deflection to l/360. [Weight of forms, estimated = 7.5psf]

You are asked to:

1. Check the joist spacing of 16 in.                                                 

2. Check the stringer spacing of 36 in.                                            

3. Check shoring space of 5 ft along the stringer.                         

If we know that the core temperatures of baboon fall roughly in a normal distribution with a mean of 100.6°F and a standard deviation of 0.86°F, answer the following.

Step 1 of 4:

What temperature would put a baboon in the 76th percentile? Include appropriate unit and round to 2 decimals.

Step 2 of 4:

What temperature would put a baboon in the bottom 20% of temperatures? Include appropriate unit and round to 2 decimals.

Step 3 of 4:

What is the probability that a baboon has a body temperature of 100°F or more?

Step 4 of 4:

What is the probability that ababoon has a body temperature less than 99°F?

Section I
You toss a coin and roll a die simultaneously. If the coin shows heads, the experiment outcome is equal to the value shown on the die. If the coin shows tails, the experiment outcome is equal to twice the value shown on the die. Assume that the coin and the die are fair. Let ? be 1 if the coin shows heads and 2 if the coin shows tails, ?be the outcome of rolling the die, and ? the outcome of the experiment. Notice that ?, ?, and ? are random variables.

1. What is the minimal sample space in this experiment? (4 points)

2. Identify the event that the outcome of the experiment is, at least, 10. (4 points)

3. What is the value of ??(? ≤ 9)? (4 points)

4. Whatisthevalueof??(4≤?≤10|?=2)?(4points)

5. Whatisthevalueof??(?=2|4≤?≤10)?(4points)

Sentinel Company is considering an investment in technology to improve its operations. The investment will require an initial outlay of $247,000 and will yield the following expected cash flows. Management requires investments to have a payback period of 2 years, and it requires a 10% return on investments. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the table provided.)

Required:
1. Determine the payback period for this investment.
2. Determine the break-even time for this investment.
3. Determine the net present value for this investment.

Determine the payback period for this investment. (Enter cash outflows with a minus sign. Round your Payback Period answer to 1 decimal place.)

Determine the break-even time for this investment. (Enter cash outflows with a minus sign. Round your break-even time answer to 1 decimal place.)

Suppose Mike’s utility function is u(x,y)=2lnx +lny.

1. Derive the demand functions.

2. Is y a Normal good?

3. Is x an ordinary good?

4. Assume the price of x is initially 1 dollar, and the price of y is also 1 dollar. Given that income is 9, if the price of x doubles to 2 dollars, decompose the change in consumption of x into substitution effect and income effect. Illustrate your answer with a graph.

5. Now, given the price increase in part 4, compute the Compensating variation (CV) and the Equivalent Variation (EV).

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25.

a. Set up the empirical probability distribution for the random variable X, the payoff of the game.

b. What is the mathematical expectation of this game?



c. In the long-run, will the player win or lose?