1:            Is PID control used in Feed Forward or Feed Back control?

2:            Explain how Open Loop Tuning differs from Closed Loop Tuning.

At a certain temperature, the Kp for the decomposition of H2S is 0.721.

Initially, only H2S is present at a pressure of 0.256 atm in a closed container. What is the total pressure in the container at equilibrium?

a) Prove that an isolated point of set A is a boundary point of A (where A is a subset of real numbers).

b) Prove that a set is closed if and only if it contains all its boundary points

1.   Draw and carefully and thoroughly label a block diagram of an “open loop” control system.

2. Draw and carefully and thoroughly   label a block diagram of a  “closed loop” control system.

For TFP to be the primary cause of business cycles, what must hold with respect to substitution and income effects for leisure? Explain in the context of 1-period, closed economy model.

Differential Geometry

Open & Closed Sets, Continuity

Prove f(t)=(x(t),y(t)) is continuous iff x(t) and y(t) are continuous

The highest and lowest birth rates in the United States in 2010 were in Utah and Maine, respectively. Utah reported 52,258 births with a population of about 2.8 million people. Maine reported 12,970 births with a population of about 1.3 million people. Use this data to answer the following questions.

a) On average, how many people were born each day of the year in Utah?

b) On average, how many people were born each day of the year in Maine?

c) What was the birth rate in Utah in births per 100,000 residents?

d) What was the birth rate in Maine in births per 100,000 residents?

The condensed income statement for the Terri and Jerri partnership for 2010 is as follows.
TERRI AND JERRI COMPANY
Income Statement
For the Year Ended December 31, 2010
Sales (200,000 units)
Cost of goods sold
Gross Profit
Operating expenses
Selling
Administrative
Net Loss
$280,000
160,000
$1,200,000
800,000
400,000
440,000
($40,000)
A cost behavior analysis indicates that 75% of the cost of goods sold are variable, 50% of the selling expenses are variable, and 25% of the administrative expenses are variable.
Instructions: (Round to nearest unit, dollar, and percentage, where necessary.)
(a) Compute the break-even point in total sales dollars and in units for 2010.
(b) Terri has proposed a plan to get the partnership “out of the red” and improve its profitability. She feels that the quality of the product could be substantially improved by spending $0.25 more per unit on better raw materials. The selling price per unit could be increased to only $6.25 because of competitive pressures. Terri estimates that sales volume will increase by 30%. What effect would Terri’s plan have on the profits and the break-even point in dollars of the partnership? (Round the contribution margin ratio to two decimal places.)
(c) Jerri was a marketing major in college. She believes that sales volume can be increased only by intensive advertising and promotional campaigns. She therefore proposed the following plan as an alternative to Terri’s. (1) Increase variable selling expenses to $0.79 per unit, (2) lower the selling price per unit by $0.30, and (3) increase fixed selling expenses by $35,000. Jerri quoted an old marketing research report that said that sales volume would increase by 60% if these changes were made. What effect would Jerri’s plan have on the profits and the break-even point in dollars of the partnership?
(d) Which plan should be accepted? Explain your answer