Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 10¹² W) pulses of electromagnetic waves that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk 4.0 μm in diameter, with the pulse lasting for 3.8 ns with an average power of 1.71×10¹² W . We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse.

1. How much energy is given to the cell during this pulse?

2. What is the intensity (in W/m²) delivered to the cell?

3. What is the maximum value of the electric field in the pulse?

4. What is the maximum value of the magnetic field in the pulse?

Olsen Outfitters Inc. believes that its optimal capital structure consists of 40% common equity and 60% debt, and its tax rate is 25%. Olsen must raise additional capital to fund its upcoming expansion. The firm will have $1 million of retained earnings with a cost of r_s = 12%. New common stock in an amount up to $7 million would have a cost of r_e = 13.5%. Furthermore, Olsen can raise up to $4 million of debt at an interest rate of r_d = 10% and an additional $6 million of debt at r_d = 13%. The CFO estimates that a proposed expansion would require an investment of $3.8 million. What is the WACC for the last dollar raised to complete the expansion? Round your answer to two decimal places.

%

Identify and interpret the smallest positive residual. Provide the complete list of residuals.

Calculate the coefficient of correlation, and interpret the result. (not from software or excel)

Identify and interpret the smallest positive residual. Provide the complete list of residuals.

The amount of time people spend exercising in a given week follows a normal distribution with a mean of 3.8 hours per week and a standard deviation of 0.8 hours per week.

i) Which of the following shows the shaded probability that a person picked at random exercises less than 2 hours per week?

a.    b.   


ii) What is the probability that a person picked at random exercises less than 2 hours per week? (round to 4 decimal places)    

iii) Which of the following shows the shaded probability that a person picked at random exercises between 2 and 4 hours per week?

a.     b.    


iv) What is the probability that a person picked at random exercises between 2 and 4 hours per week? (round to 4 decimal places)

Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models: $3.9 $4.2 $5.1 $5.9 $6.4 $6.6 $6.4 $5.5 $3.8 $4.5 4.5 6.9 3.7 5.0 6.7

The following is the amount ($000) earned by a sample of 12 Klein models. $4.6 $4.2 $5.2 $5.1 $4.8 $3.9 $4.0 $4.2 $3.6 $3.9 4.3 4.4

b. State the decision rule for 0.10 significance level: H0: μClaiborne ≤ μCalvin Klein ; H1: μ Claiborne > μ Calvin Klein. (Round your answer to 3 decimal places.)

Hanson Corp. produces three products, and is currently facing a labor shortage – only 3,180 hours are available this month. The selling price, costs, and labor requirements of the three products are as follows:

a. What is the contribution margin per unit for each product?

A-

B-

C-



b. What is the contribution margin per direct labor hour for each product? (Round your answers to 2 decimal places.)

A-

B-

C-



c. Assume Hanson has unlimited demand for each product. Which product should Hanson focus on producing?

Determine a 95% confidence interval for the population slope. What are the values in this confidence interval tell you? Be specific