Barbara, a product manager at an organic soap manufacturing company, is supposed to interview a candidate for a new job opening

The mean is represented as μ = 58 and the standard deviation σ = 5. With given values of x₁ = 48.5 and x₂ = 60, we compute t-values through the formula t = (x₂ - μ) / σ, which leads to t = (60 - 58) / 5 = 0.4, yielding an area of 0.1554 from the normal distribution curve. Similarly, for the lower value, t is computed as (μ - x₁)/ σ, resulting in t = (58 - 48.5) / 5 = 1.9 with an area of 0.4713. Totaling these, the total area under the curve is 0.4713 + 0.1554 equating to 0.6267 or 62.67%.

Answer:

Net Present Value = $ 34,310.45  

Explanation:

The Net Present Value (NPV) represents the difference between the present value of cash inflows and outflows. A positive NPV indicates a favorable investment decision, while a negative value suggests otherwise.

NPV of a project

NPV = Present Value of Cash inflows - Present Value of Cash outflow  

The cash inflow is characterized as an annuity.

Present Value of annuity= A × 1 - (1+r)^(-n)/r  

A refers to Annual cash flow, - 65,000, r is the discount rate at 12%, and the term is 5 years.

Calculation for Present Value of cash inflow equals 65,000 × (1 - (1.12)^(-5)/0.12) =  234,310.45.

The initial investment is 200,000.

Thus, the Net Present Value calculation is  -  234,310.45  -200,000 = 34,310.45  

Net Present Value = $ 34,310.45  

Response: appropriate hygiene practices

Justification:

Response:

a. Due to the rise in corn prices, the supply of corn would grow. Simultaneously, the acreage allocated for corn farming would expand.

b. The primary factor behind the change in corn production acreage is:

A. The increased price indicates to suppliers that corn is becoming more valuable.

Clarification:

As corn is essential for producing ethanol biofuel, the demand and supply for corn rise to keep pace with the climbing prices. Suppliers, for their part, respond by increasing production through the use of a larger amount of land dedicated to corn cultivation. This depicts the usual interaction of market forces that influence market equilibrium.

Answer:

The present value of the cash flow, discounted at a 5% annual rate, is $76,815.65.

Explanation:

First, we calculate the present value of a $15,000 annuity over 4 years:

C 15,000.00

Time 4

Rate 0.05

PV $53,189.2576

Next, we discount two additional years as a lump sum, corresponding to two years following the investment:

 

Maturity  53,189.26

Time  2.00

Rate  0.05000

 

PV   48,244.2245

Adding them results in the present value:

48,244.22 + 28,571.43 =  76,815.65