Joe Henry's machine shop uses 2500 brackets during the course of a year. these brackets are purchased from a supplier 90 miles away. The following information is known about the brackets:

Annual Demand: 2500

Holding Cost per bracket per year: $1.50

Order cost per order: $18.75

Lead Time: 2 days

Working days per year: 250

a.) Given the above information, what would be the economic order quantity (EOQ)?

b.) Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost?

c.) Given the EOQ, how many orders would be made each year? What would be the annual order cost?

d.) Given the EOQ, what is the total annual cost of managing the inventory?

e.) What is the time between orders?

f.) What is the reorder point (ROP)

The 2010 insurance premiums from both Geico and 21st Century for a male driver licensed for 6–8 years who drives a Honda Accord 12,600 to 15,000 miles per year and has no violations are given in the table below. The table also indicates the city of residence. City Geico ($) 21st Century ($) Difference ($) Long Beach 2780 2352 Pomona 2411 2462 San Bernardino 2261 2284 Moreno Valley 2263 2520
(a) Fill in the entires in the difference column in the above table. (b) Compute the mean of the differences. (c) Verify that the sample standard deviation of the differences is s ≈288.68. (d) Compute the standard error of the differences, using n =4. (e) Using a significance level of α =0.01, do these data provide sufficient evidence to indicate that there is a difference in the premiums between Geico and 21st Century?

Debra and James Dean are homeowners in Richardson, TX. They have a 30 year old oak tree in their front yard. On April 25, 2017, a violent thunderstorm struck Richardson. Wind gusts were recorded as high as 65 miles per hour. The Dean’s tree was blow over by the storm. Unfortunately, the tree crashed onto their neighbor’s 2017 Lexus RX350. The car was only one month old. The neighbor, Scott Turf, contacted the Dean’s and advised them he felt they were at fault for the tree falling, that the tree was an “accident waiting to happen”. He told the Dean’s he was going to contact a lawyer.

As required by the homeowners (HO) policy, the Dean’s contacted their insurer, Standard Care.

Standard Care begins an investigation of the incident. Included in this investigation is an analysis of the policy’s liability coverage.

Is Scott Turf’s claim covered by the Dean’s HO policy?

Opportunity cost of your resource is defined as "the value associated with the next best use of that resource (which you must give up)." Decisions you make should reflect your opportunity cost, and not just your out-of-pocket costs. For example, if you decide to spend two hours of your time watching TV, the opportunity cost of your time is the value associated with its next best use (studying, sleeping, or another use).

When the I-395 Express Lanes first opened in November 2019, the toll was expected to reach up to $30 for drivers in the Northbound lanes to travel a distance of only 8 miles during the morning rush hour.

Using the principles of Opportunity Cost and Rational Decision Making, explain why (or why not) drivers might pay up to $30 to save 30 minutes of travel time during the rush hour.

29C

MRI Magnetic Resonance Imaging takes exquisite images of the brain and other parts of human body. The magnetic field B is generated by a solenoid of length 3 feet and diameter of 3 feet. The B field generated is one (1) T. The largest current the wire can carry is 100 A.

a) How many turns of solenoid is needed? Eq. (29.17)

b) Find the total length of solenoid wire in miles. A proton (hydrogen nucleus) has nuclear magnetic moment μ = 8.8e-8 eV/T. It has two energy states ± μ∙B. Transitions between the two energy states give radiation detected by radiofrequency detector. For a 1-T magnetic field, find the:

c) energy difference in neV (e-9 eV) between the two states.

d) frequency of this signal. (This is well known in MRI.) Eq. (38.4)

1. A fuel has the formula C₉H₁₆ and its combustion is complete (i.e. it combines entirely with oxygen to produce CO₂ and water). Write down the balanced chemical equation of the combustion.

2. The fuel with formula C₉H₁₆ is used in a car that has a fuel efficiency of 20 mpg and is driven for 26,000 miles in one year. If one tree can assimilate 6 kg of CO₂ per year, would that tree offset the pollution caused by the car? Show all your calculations.

3. CO₂ and H₂O combine through the process of photosynthesis to form C₆H₁₂O₆ and O₂. Estimate the consumption of CO₂ (in kg per year) by a tree that produces 9 kg of O₂ per year.

4. Assuming that the world population is 7 billion and everyone in the planet plants one of the trees that produces 9 kg of O₂ per year; how much CO₂ would be capture in one year?

In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 84 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life ( 150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean 78 mg/mi and standard deviation 6 mg/mi.

(a) What is the probability that a single car of this model emits more than 84 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.)

(b) A company has 36 cars of this model in its fleet. What is the probability that the average NOX + NMOG level ?¯ of these cars is above 84 mg/mi? (Enter your answer rounded to four decimal places.)

7. The accompanying table shows a portion of a data set that refers to the property taxes owed by a homeowner (in $) and the size of the home (in square feet) in an affluent suburb 30 miles outside New York City.

a. Estimate the sample regression equation that enables us to predict property taxes on the basis of the size of the home. (Round your answers to 2 decimal places.)

TaxesˆTaxes^ =  +  Size.

b. Interpret the slope coefficient.

• As Property Taxes increase by 1 dollar, the size of the house increases by 6.92 ft.

• As Size increases by 1 square foot, the property taxes are predicted to increase by $6.92.

c. Predict the property taxes for a 1,800-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)