A function of two variables being continuous means

Select all that apply

The function is built from elementary functions and algebraic operations.

We can evaluate limits of the function by simply plugging in values.

Its graph can be drawn without lifting up the pencil

The function's value at each point of the domain is equal to its limit there.

All the partial derivatives exist.

In R:

Consider dataset “juul” from library “ISwR”. (juul is a built in data set)

Are the means of igf1 equal among tanner groups at 5% level?

Please use the six step process to test statistical hypotheses for this research problem.

Note: You need to convert tanner from numeric to factor type and ignore all the NAs.

In recent years, the Chinese government has allowed many automobile factories to be built in China by companies such as the Shanghai Automotive Industry. Many of these cars are intended for the Chinese market. At the same time, incomes in China are rising. Draw a clearly labeled graph to explain what is happening in the Chinese auto market.

Mighty Mugs is a retailer specialized in reusable mugs. All mugs are built out of metal and come in a wide variety of colors and patterns. Mighty Mugs started as a start-up in 2015 in Seattle and it has grown into a middle size company. Now that they have a significant sales volume, they have started to think about how to optimize their operations. You have been hired as a supply chain consultant and your first task is to improve the inventory management of one of their best-selling products, the Mighty Tumbler. The annual demand for Mighty Tumblers is normally distributed with a mean of 1963 and a standard deviation of 393. The annual holding rate is 20%, transaction cost $300 per order, and the cost per unit is $5. The lead time to receive the tumblers once an order has been placed is 2 weeks. Mighty Mugs owns the inventory from the moment it leaves the supplier's warehouse. (For planning purposes, consider 48 weeks in a year.) The current inventory policy being used by the company is to order 500 Mighty Tumblers every time the stock level hits 100 units.

Part A

1.What is the cycle service level offered by the current policy?

2.What is the item fill rate offered by the current policy?

Part B

1. Calculate the total annual inventory holding cost of the current inventory policy (order quantity of 500 units when stock level is at 100 units). Note: The inventory holding cost should include cycle stock, safety stock and pipeline inventory.

2. What is the Total annual inventory holding cost:

Part C

Propose a new continuous-review inventory policy that provides a 90% cycle service level at the minimum cost.

1. Order quantity Q:

2. Reorder point s:

Part D

1. Your boss thanks you for your proposal, but what she actually wants is a periodic-review policy in which new orders are placed once a month. This policy should provide a 90% cycle service level at the minimum inventory cost. What should be the value of Order-up-to-level S?

Part E

Mighty Mugs has decided to move forward with the periodic policy that you have proposed. Select other actions that could be taken to reduce the cost of inventory even further under this policy:

1.Decreasing the cycle service level.

2.Negotiating a shorter lead time.

3.Ordering bigger quantities.

4.Increasing the item fill rate.

5.Shortening the review period R.

6.None of the above

You are given a trie that was built from a list of n (potentially non-unique) words, in which the longest word has length m. What is the best-case memory requirement for the trie (as a function of m and/or n)? What is the worst-case memory requirement? Draw a small example trie showing the data in both of the cases, and describe the dictionary inputs.

Bo was the owner of Lot No. 1 on which he had built his home. Sadia owned the adjoiningLots No. 2 and 3, which were undeveloped, along with Lot No. 4 on which Sadia’shome was located. Bo wished to acquire Lot No. 2 in order to protect his home sitefrom crowding if Lot No. 2 should be sold to a stranger.Meeting Sadia on the street on January 2, Bo explained his wish to acquire LotNo. 2 and offered to buy it from Sadia for $75,000 cash. Sadia agreed and promised todeliver a deed to Lot No. 2 in 4 weeks. Bo paid Sadia $1,000 as a deposit or downpayment towards the purchase price of $75.000.On February 1, Sadia told Bo that she had changed her mind. Bo demands thatSadia perform the contract. Sadia contends that if there is any contract, it is unenforceable.

(a) Was there an offer and acceptance sufficient to constitute a contract between Sadiaand Bo? Explain.

b) In an action by Bo against Sadia for breach of contract, judgment for whom? Explain.

(c) Assume that on January 10, Bo sent to Sadia his check for $1,000 bearing thenotation “On account of purchase price of Lot No. 2” and that Sadia cashed the check,but later refused to convey Lot No. 2. Would Bo’s payment constitute sufficient part performanceto enable Bo to enforce the contract against Sadia? Explain.

(d) If the contract is not enforceable, may Bo recover his $1,000? Explain.

(e) Assume that in addition to the payment, Bo, with Sadia’s knowledge and consent,entered on Lot No. 2 and had it cleared of brush on January 20 at a cost of $150,but Sadia still refused to convey. Would Bo be entitled to obtain a decree of specific performanceto compel Sadia to deliver a deed to Lot. No. 2 to Bo upon paying to Sadia thebalance of $74,000? Explain.

(f) Would Bo be entitled to recover his $1,000 payment plus the $150 cost of clearingthe land? Explain.

(g) Assume that on March 1. Bo instituted a suit for specific performance and thatSadia denied she had agreed to sell. At the trial, the court decided that Bo was tellingthe truth and ordered Sadia to execute and deliver to Bo a deed to Lot. No. 2 upon Bopaying the balance of $74,000. Is Sadia entitled to have the decision reversed on appeal,if on the appeal Sadia raises for the first time the defense that her agreement wasnot in a writing signed by the party to be charged? Explain.

1) A rectangular window is built with 12 meters of framing materials. What must the dimensions of the window be to let in the most light? Use calculus to solve

2) What are the dimensions of an aluminum can that holds 40 cubic inches of juice and that uses the least material? The can is cylindrical and capped on both ends. Use calculus to solve

Why is redundancy built in the DNA code? Can a triplet codon for more than one amino acid or can amino acids be synthesized by more than one triplet of codons? How many codons code for 20 amino acids?

Why does mRNA have to be processed in eukaryotes and what does involve?

What translates the DNA message and how? Explain what tRNA does. How is it possible to have 45 tRNA but 61 mRNA to code for the same amino acids?

Explain how a ribosome works to generate a protein. Be sure to start with 2 ribosomal subunits coming together, and include the A,P,E sites in your explanation.

The State of DeNile built a new toll road 3 years ago for $900 million. The state can charge tolls on the road for the next 20 years and expects to spend $3 million per year on maintenance and toll collection. Toll revenue is expected to be $80 million per year. The state has recently received an offer from the Otto Corporation to lease the road for 20 years. The company will pay DeNile $1 billion and will receive exclusive rights to collect and keep the tolls. Otto Corp will also be responsible for all maintenance and other expenses. The state can invest its money at 6% annual return. Should the state take this offer? Why or why not?