Given the following information for a monopolistic competitor:

Demand: P = 78 – 5(Q)

Marginal revenue: MR = 78 – 10(Q)

Marginal cost: MC = 2(Q) + 10

Average total cost at equilibrium is 14

1. At what output (Q) will this firm maximize profit? _____

2. At what price (P) will this firm maximize profit? _______

3. What is the total revenue (TR) earned at this output level? _____

4. What is the total cost (TC) accrued at this output? _____

5. What profit or loss is experienced by this firm? ______

6. Could this firm be in a longrun situation? (answer 1 = yes, 2 = no) _____

Why does the auto industry prefer uniform (national) standards for automobile emissions as opposed to regionally varying standards? Are uniform standards beneficial to everyone?

GOAL Apply the more general definition of torque. PROBLEM (a) A man applies a force of F = 3.00 102 N at an angle of 60.0° to the door of Figure (a), 2.00 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation. (b) Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door? STRATEGY Part (a) can be solved by substitution into the general torque equation. In part (b) the hinges, the wedge, and the applied force all exert torques on the door. The door doesn't open, so the sum of these torques must be zero, a condition that can be used to find the wedge force. SOLUTION (A) Compute the torque due to the applied force exerted at 60.0°. Substitute into the general torque equation. τF = rFsin θ = (2.00 m)(3.00 ✕ 102 N) sin 60.0° = (2.00 m)(2.60 ✕ 102 N) = 5.20 102 N · m (B) Calculate the force exerted by the wedge on the other side of the door. Set the sum of the torques equal to zero. τhinge + τwedge + τF = 0 The hinge force provides no torque because it acts at the axis (r = 0). The wedge force acts at an angle of −90.0°, opposite the upward 260 N component. 0 + Fwedge(1.50 m) sin (−90.0°) + 5.20 ✕ 102 N · m = 0 Fwedge = 347 N LEARN MORE REMARKS Notice that the angle from the position vector to the wedge force is −90°. This is because, starting at the position vector, it's necessary to go 90° clockwise (the negative angular direction) to get to the force vector. Measuring the angle in this way automatically supplies the correct sign for the torque term and is consistent with the right-hand rule. Alternately, the magnitude of the torque can be found and the correct sign chosen based on physical intuition. Figure (b) illustrates the fact that the component of the force perpendicular to the lever arm causes the torque. QUESTION To make the wedge more effective in keeping the door closed, should it be placed closer to the hinge or to the doorknob? closer to the hinge closer to the doorknob PRACTICE IT Use the worked example above to help you solve this problem. (a) A man applies a force of F = 3.00 102 N at an angle of 60.0° to a door, x = 2.10 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation. N · m (b) Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door? N EXERCISE HINTS: GETTING STARTED | I'M STUCK! A man ties one end of a strong rope 7.74 m long to the bumper of his truck, 0.521 m from the ground, and the other end to a vertical tree trunk at a height of 3.62 m. He uses the truck to create a tension of 7.50 102 N in the rope. Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point. N · m

a) If 8.00 hp are required to drive a 1800-kg automobile at 54.0 km/h on a level road, what is the total retarding force due to friction, air resistance, and so on?

b) What power is necessary to drive the car at 54.0 km/h up a 10.0% grade (a hill rising 10.0 m vertically in 100.0 m horizontally)?

c) What power is necessary to drive the car at 54.0 km/h down a 1.00 % grade?

d) Down what percent grade would the car coast at 54.0 km/h ?

23- Celsius Corp. is conducting a capital budgeting analysis to decide whether to invest in a new project which has an expected life of 5 years. The following information is available:

• The installed cost of the new equipment is $360,000. Installation will cost an additional $40,000 The equipment will be depreciated using 5-year MACRS depreciation over the 5-year life of the project.

• An initial NOWC investment equal to 10 percent of year 1 sales will also be required.

• The equipment is expected to have a salvage value of $80,000 at the end of the project's life.

• Forecasted sales in year 1 is $600,000 with a gross margin (excluding depreciation) of 40%. Sales is expected to increase 5% per year over the 5-year life of the project.

• Additional NOWC investments equal to 10 percent of the expected increase in sales will also be required each year.

• Interest expense from a loan used to finance the project will result in annual interest payments of $28,000 each year over the 5-year life of the project.

• Celsius has a 21% corporate tax rate.

What are the after-tax net proceeds from the sale of the equipment in year 5? (Round to the nearest dollar)

Select one:

a. $0

b. $11,962

c. $63,200

d. $68,038

e. $80,000

Using energy level diagrams, predict the relative stability of a Br₂ molecule as well as the first excited state.

A 0.0038 kg leaf falls 16.8 m to the ground, where it lands with a speed of 12.2 m/s. What was the average force of air resistance on the leaf while it was falling?

Problem 1: In the figure to the right, m1=20.0kg and α=53.1o . The coefficient of kinetic friction between the block and the incline is µk=0.40. a) What must be the mass m2 of the hanging block if it is to descend 12.0 m in the first 2.00 s after the system is released from rest? b) For the µk in the problem, what mass m2 will provide constant velocity of m1 down the incline? c) Suppose µs is 0.7, what is the maximum mass m2 that will still cause no movement?

A palindrome is a string whose reversal is identical to the string. For example, 110010011 is a palindrome. So are BOB and KAYAK. How many bit strings of length ?? are palindromes? Explain your solution clearly.

Explain how the shape of the load duration curve for a particular system affects the selection of technology mix

For physics discussion post. Please TYPE the response as I struggle with reading written information.

• Explain Boyle's law, Charles law, and the Ideal Gas equation.
• Explain Kinetic Molecular Theory of Ideal Gas.
• In your own words, explain the First Law of Thermodynamics and give examples.
• In your own words, explain adiabatic process and isothermal process, and give examples.

Consider a file system using a multi-level indexing scheme in inodes as the file organization. In this question, you are going to compare symbolic linking with hard linking.

i. (3%) Consider creating a symbolic link abc.txt in the current directory /usr/local/ that links to the file /home/c3230a/intro.txt. Which filesystem data structures need to be involved and/or updated?

ii. (3%) Consider creating a hard link abc.txt in the current directory /usr/local/ that links to the file /home/c3230a/intro.txt. Which filesystem data structures need to be involved and/or updated?

1a) A sample of a new cleaning product, "Joe's Famous Bleach Cleaner," with a mass of 59.0 g , was diluted with an acetic acid solution containing excess I−. A small amount of starch indicator solution was then added, turning the solution a deep bluish-purple. The solution was then titrated with 0.190 M sodium thiosulfate, Na2S2O3, containing the ion S2O32−. A volume of 45.0 mL of sodium thiosulfate, the titrant, was needed to turn the solution colorless. What is the percentage composition by mass of NaClO in the bleach product?

1b) A stainless steel alloy is to be analyzed for its chromium content. A 3.50 g sample of the steel is used to produce 250.0 mL of a solution containing Cr2O72−. A 10.0-mL portion of this solution is added to BaCl2(aq). When the pH of the solution is properly adjusted, 0.145 g BaCrO4(s) precipitates. What is the percent Cr, by mass, in the steel sample?

TRANSPARANT DATA ENCRYPTION TOPIC INTRODUCTION 150WORDS, DESCRIPTION 250 WORDS,  CONCLUTION 150 WORDS USE OWN WORDS 500 WORDS. WITH REFERENCE SAFEASSIGN NEEDED

What do you consider an appropriate co-occurring diagnosis for an adolescent substance use disorder compared to an adult substance use disorder? Why or why not?