A price quote for equipment at Paul Engineering has been received at a cost of $100,000. The operation and maintenance costs of this equipment are estimated to be about $20,000 per year. Salvage value is expected to be $10,000 when the machine is retired. The life of this equipment is estimated to vary anywhere from 5 to 9 years with the associated probabilities as shown in the table below. If the interest rate is 10%, what is the expected EUAC for this equipment?

Demand data on "Service Orders" for a particular service enterprise for the previous 12 months is as follows: 550, 652, 673, 707, 725, 752, 780, 797, 815, 836, 850, and 872. Problem 3b) Use the following three methods and prepare three forecasting tables with errors for the given demand data. • a 3-month Weighted Moving Average with the weights 0.6, 0.3, and 0.1 with the maximum weight going for the most recent data point into the past • Exponential Smoothing with smoothing constant = 0.9 • Linear Trend Regression

Find the cumulative distribution function of X and draw its graph?

A salesman has scheduled two appointments to sell encyclopedias. His first appointment will lead to a sale with probability 0.3, and his second appointment will lead independently to a sale with probability 0.6. Any sale made is equally likely to be either for the deluxe model, which costs $1000, or the standard model, which costs $500. X is the total dollar value of all sales. Hint: you could find the probability mass function of X and use that.

Two long concentrie cylinders have diameters of 5 and 10

cm, respectively. The inside cylinder is at 900 C and the outer

cylinder is at 100-C. The inside and outside emisivities are 0.8

and 0.4, respectively. Calculate:

a) the percent reduction in heat transfer if a cylindrical radiation

shield having a diameter of 6 cm and emisivity af 0.3 is placed

between the two cylinders.

b)discuss the effect of decreasing the shield diameter on the

percent reduction in heat transfer

c)draw the network circuit

cxraw the network circuit

1. A block of mass m₁ = 2kg is placed on a 30 degree incline. The block is attached to a string that passes over a pulley at the top of the incline. vertically from a string that passes over a pulley. A mass m₂ = 0.2kg is hanging from the other end of the string. If the coefficients of static and kinetic friction are u_s = 0.4 and u_k = 0.3,
   1. Will the system accelerate if it’s initially at rest? Justify your answer with physics!
   2. If it does accelerate, what is the acceleration? In which direction is this acceleration?
   3. What is the value of m₂ that will cause the system to be stationary if friction is negligble?

Company A desires a variable-rate loan but currently has a better deal from the fixed-rate market at a rate of .13. If Company A borrows from the variable-rate market, the cost would be LIBOR+.02. In contrast, Company B, which prefers a fixed-rate loan, has a better deal from the variable-rate market at LIBOR+.03. If Company B borrows from the fixed-rate market, the cost would be .16. Knowing both companies’ needs, Bank C designed a swap deal. The deal is outlined in the following:

1) Company A obtains a fixed-rate loan at .13.

2) Company B obtains a variable-rate loan at LIBOR+.03.

3) Company A pays Bank C a variable rate of LIBOR+.01 and receives a fixed rate of .133 from the bank.

4) Company B pays Bank C a fixed rate of .145 and receives a variable rate of LIBOR+.02 from the bank.

How much is the cost saving to Company B and how much is the total gain to the bank?

Select one: a. Cost savings for B: 0.5%, and the gain for bank: 0.2%

b. Cost savings for B: 0.4%, and the gain for bank: 0.4%

c. Cost savings for B: 0.7%, and the gain for bank: 0.2%

d. Cost savings for B: 0.6%, and the gain for bank: 0.3%

e. Cost savings for B:1%, and the gain for bank: 0.3%

Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 42x5(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Obtain the cdf of X. F(x) = 0 x < 0 Correct: Your answer is correct. 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) What is P(X ≤ 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) 0.1586 Correct: Your answer is correct. (c) Using the cdf from (a), what is P(0.3 < X ≤ 0.6)? (Round your answer to four decimal places.) 0.1548 Correct: Your answer is correct. What is P(0.3 ≤ X ≤ 0.6)? (Round your answer to four decimal places.) (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.1063 Incorrect: Your answer is incorrect. (e) Compute E(X) and σX. (Round your answers to four decimal places.) E(X) = σX = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)

1. Demand data for thirty days have been provided, along with computed weighted moving average forecasts for days six to thirty, using weights of 0.5, 0.3, 0.1, 0.05, and 0.05, with the largest weight on most recent demand. Please compute the Mean Suared Error (MSE) for the 25 forecasts, and then use SOLVER to find the five weights that will minimize the MSE. Note that your weights must sum to one, and it is OK for some of the weights to be zero.

Report your new (optimized) value for the MSE, to two decimals.

Clark Clothing Inc produces T-shirts, Shorts, and Pants. The profit contributions ($/unit) are:

T-shirt: $14.30/unit, Short $9.80/unit, and Pant: $12.20/unit. 250 hours for Cutting are available, 230 hours for Sewing, and 20 hours for Packing are available. There are two pending orders: 25 T-shirts and 50 Pants. The mathematical model to maximize total profit is given below:

Max 14.3*T + 9.8*S + 12.2*P

S.T.:

Cutting 1.5*T + 2.2*S + 3.1*P <= 250

Sewing 0.7*T + 1.9*S + 3.7*P <= 230

Packing 0.1*T + 0.3*S + 0.3*P <= 20

T-shirt Order T >= 25

Pants Order P >= 50

N-N T, S, P >= 0 AND INTEGER

1) What is the Optimal Solution?

T ____ Units

S ____ Units

P ____ Units

2) What is the Total Profit?

Assume Profit Contribution for Shorts is 11.5 (not 9.80) AND

the number of hours for Packing is 25 (not 20).

3) What is the new optimal solution?

T____ Units

S ____ Units

P ____ Units

4) What is the total Profit

Please perform in excel using solver, I know how to set this up but have problems putting it into excel and linking things correctly for solver