The supervisor of a manufacturing plant is trying to determine how many of two parts, Part X and Part Y, are to be produced per day.  Each part must be processed in three sections  of the plant. The time required for the production along with the profit contribution for each part are given in the following table.

No more than 60 units of Part X and up to 70 units of Part Y can be produced per day. The company already has orders for 30 units of Part Y that must be satisfied.

a. ​Develop a spreadsheet model and find the solution that maximizes total profit contribution.  What is the value of the objective function? Enter your answer without a dollar sign.

b. Based on your answer to Question 4, what quantity of Part X should be produced to maximize profit contribution?

c. Based on your answer to Question 4, what quantity of Part Y should be produced to maximize profit contribution?

What is a water footprint? You can show it on a graph or table. What food-consumption patterns or direct water-use habits explain your water footprint? Note: Your income is used to estimate your water footprint from the use of industrial goods. This is not a very exact estimate. Choose a couple of water-intensive foods that you consume and indicate in which countries or regions they are produced. Are these countries or regions water-stressed? Do you think your diet is relevant to water availability in those places? Explain.

1. Explain at least two reasons why economists assume most goods and services are convex to the origin.

2. Use the graph to explain each statement about interior solutions for imperfect substitutes below. In your explanation, make sure you are comparing the marginal utility per dollar spent on each good.

a.) at point a, the consumer should increase their consumption of ?? and decrease their consumption of ??.

b.) at point b, the consumer should not change their behavior.

c.) at point c, the consumer should decrease their consumption of ?? and increase their consumption of ??.

## Sampling distributions
Answer the questions in your own words but you may refer to notes

1. What is a sampling distribution. Describe with an example where the population is Fremont, CA and the parameter of interest is whether the household owns a Tesla.

2. Describe the concept of sampling variability.

## Explain the Central Limit Theorem
Explain what the Central Limit Theorem tells you about the sampling distribution. But don't use fancy technical terms. For example if you were researching a person's age, describe the distribution of the individual ages, and the distribution of the average age (complete with numbers)

Creating Confidence Intervals

1. What is the relationship between the Empirical Rule and a 95% confidence interval?

2. How are confidence and margin of error related? Explain with examples.

1. Explain with words and steps how to create a confidence interval for estimating the true value of the population mean of the number of cars owned by Beverly Hills households. Don't forget to write an interpretation of the confidence interval. The sample results were:
a. Sample size of 100 people.
a. Sample average was 5.2.
a. Sample standard deviation was 2.8.

Blake and Valerie Meyer (both age 30) are married with one dependent child (age 5).

Blake’s gross salary from his corporate employer was $70,000, and his Section 401(k) contribution was $6,300.

Valerie’s salary from GuiTech, an S corporation, was $29,400.

Valerie owns 16 percent of GuiTech’s outstanding stock. Her pro rata share of GuiTech’s ordinary business income was $13,790, her pro rata share of GuiTech’s net loss from rental real estate was $8,100, and she received a $12,000 cash distribution from GuiTech.

Blake received a $12,000 cash gift from his grandmother.

Valerie won $6,400 in the Maryland state lottery.

The Meyers received a distribution from their investment in Pawnee Mutual Fund that consisted of a $712 qualifying dividend and a $3,020 long-term capital gain.

Blake paid $12,000 alimony to a former spouse.

The Meyers paid $14,200 home mortgage interest on acquisition debt and $2,780 property tax on their personal residence.

The Meyers paid $7,000 state income tax and $4,200 state and local sales tax.

Valerie contributed $1,945 to the First Baptist Church.

On the basis of the above information, compute the Meyers’ federal income tax (including any AMT) on their joint return. Assume the taxable year is 2017. Use Individual tax rate schedules and Standard deduction table. (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.)

1. AGI=

2. Taxable Income=

3. Mr. and Mrs. Meyers regular taxable income (after applicable credits)=

4. AMT=

5. Mr. and Mrs. Meyers total tax liability (including ATM)=

Blake and Valerie Meyer (both age 30) are married with one dependent child (age 5).

Blake’s gross salary from his corporate employer was $70,000, and his Section 401(k) contribution was $6,300.

Valerie’s salary from GuiTech, an S corporation, was $29,400.

Valerie owns 16 percent of GuiTech’s outstanding stock. Her pro rata share of GuiTech’s ordinary business income was $13,790, her pro rata share of GuiTech’s net loss from rental real estate was $8,100, and she received a $12,000 cash distribution from GuiTech.

Blake received a $12,000 cash gift from his grandmother.

Valerie won $6,400 in the Maryland state lottery.

The Meyers received a distribution from their investment in Pawnee Mutual Fund that consisted of a $712 qualifying dividend and a $3,020 long-term capital gain.

Blake paid $12,000 alimony to a former spouse.

The Meyers paid $14,200 home mortgage interest on acquisition debt and $2,780 property tax on their personal residence.

The Meyers paid $7,000 state income tax and $4,200 state and local sales tax.

Valerie contributed $1,945 to the First Baptist Church.

On the basis of the above information, compute the Meyers’ federal income tax (including any AMT) on their joint return. Assume the taxable year is 2017. Use Individual tax rate schedules and Standard deduction table. (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.)

1. AGI=

2. Taxable Income=

3. Mr. and Mrs. Meyers regular taxable income (after applicable credits)=

4. AMT=

5. Mr. and Mrs. Meyers total tax liability (including ATM)=

A triangular-shaped toy is made from identical small but relatively massive red beads and identical rigid and lightweight blue rods as shown in the figure. The moments of inertia about the a, b, and c axes are I_a, I_b, and I_c, respectively. The b axis is half-way between the a and c axes. Around which axis will it be the easiest to rotate the toy?

For these different type of red blood cells , please include how they would look under the microscope. Examples include talking about size,shape,color or the cell/center of the cells. Also any abnormalities to them and any other observations would be helpful!

Pernicious Anemia

Iron Deficiency Anemia

Thalassemia Major

Ovalcytosis

Spherocytosis

Hemoglobin C

As Koss Corporation’s financial statement auditor, what responsibilities did Grant Thornton have to detect the embezzlement and accounting fraud? List and briefly describe at least three red flags that could have alerted the auditor to the fraud. What audit procedures might the auditor has used to address those red flags in order to discover the accounting fraud and the embezzlement?