Part 1: PID Control Design 1. For the Determine the value of Kp in the system shown below to change the natural frequency of the closed-loop control system to 10 rad/s: R(s) KP s+1 s² + 4s +3 Y(s) 20 20

Mirtha owns an online jewelry store that specializes in earrings. In March, she sells 50 pairs of earrings priced at $15. The cost of materials to create the 50 pairs of earrings was $100. The website she uses to sell her wares costs her $10 a month, and she is also charged 4% on each sale by the company that processes debit/credit card purchases. Which of the following best represents Mirth’s total cost? Group of answer choices A)The $750 Mirtha earned from earring sales minus the materials ($100), online website charge ($10), and payment processing charge (4%) B)The sum of the materials ($100), website charge ($10), and 4% payment processing charge (4%) C)The cost of all the materials used to create the earrings, $100 D)The costs of materials minus the costs it takes to run her business through the online store, in this case the $10 website charges and the 4% payment processing charge

Ima Newworker requires 43 minutes to produce her first unit of output. If her learning curve rate is 76%, how many units will be produced before the output rate exceeds 5 units per hour?

Intelligent Inc. specializes in the manufacture ofcomponents for personal computers. Managementhas determined that the daily cumulative cost of producing these components (in dollars) is given by:C(x) = 0.0001x3 - 0.08x2 + 40x + 5000where x is the number of components produced.(a) What is the actual cost incurred for manufacturing the 301st component?(b) What is the marginal cost of the 200th component? What can you say about the marginal costas a function of x (increasing or decreasing)?(c) What is the average unit cost if you produce just300 units?

Ima Neworker requires 43 minutes to produce her first unit of output. If her learning curve rate is 76%, how many units will be produced before the output rate exceeds 5 units per hour?

A company sells one of the items in its product line for $8.90 each. The variable costs per unit is $3.90, and the associated fixed costs per week are $2,200. If the total revenue is $9,434 per week, then determine each of the following quantities: (1) The weekly level of output (n), that is the number of items produced and sold, is units. (2) The total variable costs (TVC) per week is $ (3) The net income (NI) per week is $ (4) The break-even volume (nBE) per week is even volume is not an integer, round up to the next integer.) units. (Hint: If the break- (5) The break-even revenue (TRBE) per week, rounded to the nearest cent, is $

Prob. # 5] A rigid tank contains a mixture of vapor and liquid water at a temperature of 70 "C. The tank has a volume of 500 liters, the liquid phase occupying 30% of volume. Determine the amount of heat added to the system to raise the pressure to 3.5MPaa.

The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. 20- 15- 10- C(x) = 6 + /2x + 32 Osx< 50 Perform the following calculations and interpret the results. 10 20 30 40 50 Production C'(x) =U %D Cost (hundred dollars)

The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x) = 2500 + 60x R(x) = 800x - x? a) Determine the maximum profit of the company. The maximum profit of the company is b) Determine the number of items that must be produced and sold to obtain the maximum profit. The number of items that must be produced and sold to obtain the maximum profit is