You are the manager of Compounders Ltd. The company mixes compound for smaller plastic extrusion companies. Compounders Ltd has six (6) mixing machines with a maximum capacity (100%) of 250 ton 250 ton per machine. However, due to power cuts, the machines are currently being operated at 75% of installed capacity. One (1) ton of a compound mixture consists of two (2) raw materials: 0.7 ton of Electrolyte and 0.3 ton of Copper Wire. Assume no wastage. There are no opening and closing inventories. All raw materials purchased are being used in the month of purchase, and all compound mixed are being sold in the month mixed. Each mixing machine requires two (2) operators. The company is operating a nine (9) hour shift and each machine operator earns R75 per hour. No weekend time nor overtime is allowed. The company is a price setter and the pricing policy is based on a mark-up of the total production cost at 50%. The company incurred the following costs for the month:

1. Import (purchase) raw material for one month’s production. Material Electrolyte @ R60 per ton and Copper Wire @ R95 per ton.

2. The import cost amount to R1,000 per 250 ton of Material Electrolyte and R1,500 per 120 ton of Copper wire.

3. Paid the wages based on a twenty (20) working days.

4. The factory foreman earns a salary of R15,000 per month.

5. The cost of security is as follows: Guard at the entrance of the factory R3,500 per month and the guard at the entrance to the admin offices R3,750 per month.

6. The monthly rental amounts to R25,000. Rent is allocated based on floor space occupied. The factory occupies 9,100 ??2 and the office block 3,900 ??2.

7. Office expenses amounts to R64,000 per month.

8. Compound delivery cost amount to R1,200 per 125 ton of compound delivered.

Required: 1.1 Calculate the selling price per ton of the compound mixture. Use the following table in your workings as marks will also be awarded for individual calculations. (Max 20 marks)

1.2 Calculate the variable cost per ton of the compound mixture and the total fixed cost. Use the following table in your workings as marks will also be awarded for individual calculations. (6)

1.3 Calculate the contribution per ton produced. (2)

1.4 Calculate the break-even tons to be mixed (2)

QUESTION 16

Analyse the data below related to days survival following surgery from either stomach or lung cancer. What is the result of the Kolmogorov–Smirnov test for the patients who survived stomach cancer?

QUESTION 17

Run an independent t-test on the data in Q16. A Levene’s test result of p = .006 was obtained. What can we infer from this number?

QUESTION 18

What is the correct result for the independent t-test you calculated in Q17?

QUESTION 19

Assume that for the research into stomach and lung cancer the significance value is set at p < .05 and an independent t-test yielded a significance value of p = .06. What should you do?

QUESTION 20

What is the effect size for the cancer survival data?

A) Estimate the rotational inertia of a 60-kg ice skater by considering her body to be a cylinder. Assume she's holding her arms tight to her torso, so they don't contribute significantly to her rotational inertia. Suppose that the distance from the center of rotation to the shoulders is 0.2 mm.

B) Estimate the rotational inertia if she extends her arms fully. Suppose that the arm span of the ice skater is 1.6 mm and the arms make up 15 percent of skater's mass.

A chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, bu the mean of all dosages produced should be 8 mg with a standard deviation of 0.2 mg. In 40 random dosages, the mean amount of active ingredient is 8.1 mg. Does the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg?

Prepare 100ml of homogenization buffer. Calculate how to do this with (c1V1=c2V2) where C is concentration and V is volume.

Initial Stock solutions:---------------------- Final Buffer:

50mM TrisCl, pH8.6 ---------------------------10mM TrisCl, pH 8.6

100mM PMSF-----------------------------------1mM PMSF

20mM EDTA--------------------------------------1mM EDTA

20 uM pepstatin A -------------------------------0.2 uM pepstatin A

7.1 M 2-mercaptoethanol ----------------------1 mM 2-mercaptoethanol

Please show your work so I can reason through this! Thanks

Q.8. Super-heated steam at 875 K is flowing through a thick walled tube of stainless tube with inside diameter 40mm and outside diameter50mm such that its inner wall is heated to a uniform temperature of 875K.To reduce heat loss, the tube is lagged with 30mm layer of asbestos insulation k=0.2 W/m.K. Calculate the heat loss using the electrical analogy per metre length if the outer surface temperature of the insulated tube is 350K.Thermal conductivity of steel=19 W/m.k.

For the differential equation x′′ + (o.1)(1 − x2)x′ + x = 0; x(0) = 1, x′(0) = 0. (a) Rewrite it as a system of first order differential equations in preparation to solve with the vectorized version of a numerical approximation technique. (b) Use the vectorized Euler method with h = 0.2 to plot out an approximate solution for t = 0 to t = 10. (c) Plot the points to the approximated solution (make a scatter plot), make a prediction of what type of function the solution might be.

1. Suppose that the tax rate is 50% and the probability of getting caught evading taxes is 20% plus an additional 10% for every $10,000 in tax evasion. (Hence, P = 0.2 + 0.1X, where X is measured in $10,000s of evasion.) Individuals who are caught evading taxes will be forced to pay the taxes they owe in addition to a $30,000 penalty.

1. a) What is the expected benefit of evading $100,000?

2. b) What is the expected cost of evading $100,000?

3. c) How much evasion will a risk-neutral taxpayer engage in?

I did an experiment known as "Identification of an unknown aldehyde and unknown ketone."

First I added 0.2 mL aldehyde, 1 mL ethanol, 49 drops of water, 2 more drops ethanol, and 4 drops of phenylhydrazone in a flask. I put the solution in ice and crystals formed. My end product weighed 0.105 g. Please calculate the percent yield of the phenylhydrazone reaction assuming the aldehyde is the limiting reagent.

Aldehyde= 4-methylbenzaldehyde (1.019 g/ mL = density)

2. The surface of a 0.1% C steel gears is to be hardened by carburizing. In gas carburizing, the gears are placed in an atmosphere that provides 1.2% C at the surface of the steel at a high temperature. Carbon then diffuses from the surface into the gear. For optimum properties, the steel must contain 0.45% C at a depth of 0.2 cm below the surface. Design a carburizing heat treatment schedule that will produce these optimum properties. Assume that the temperature is high enough (at least 900°C) so that the iron has the FCC structure.