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QUESTION 4 4.1 In November 20x1 Cisp Limited started making budget plans for the 12 months commencing 01 January 2002. The projected sales volume was R8 700000 as compared to an estimated R7 350 000 for the financial year ended 31 December 20x1. The estimates of the operating results for the current year (20x1) are shown in the Salement of Comprehensive Income below. Following this statement are the specific working assumptions with which to plan the financial results for the next year. Statement of Comprehensive Income for the year ended 31 December 20x1 Assumptions for the financial year 2012: - Manufacturing labour will fall to \( 24 \% \) of sales because volume efficiency would offset higher wage rates. - Materials cost would increase to \( 14.5 \% \) of sales because some price increases would not be offset by better utifisation. - Overhead costs would fise above the current level by \( 6 \% \) of the \( 20 \times 1 \) Rand amount, reflecting higher costs. Additional variable costs would be incurred at the rate of \( 11 \% \) of the incremental sales volume. - Depreciation will increase by R20000, reflecting the addition of some production machinery. - Seling expenses would rise more proportionately, by R250 000, since addifional effort would be required to increase sales volume. - General administrative expenses would drop to \( 8.1 \% \) of sales. - Income tax is estimated at \( 30 \% \) of pre-tax profis. Required Prepare a Pro Forma Statement of Comprehensive Income for Cisp Limited for 2012. (20 marks) 4.2 Due to the liming differences, the cash coming in and going out of the project's account may not be the same as the sales figures or expenses for the month. State five (5) examples that would influence cash flow finings.

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In the circuit given below, R = 21 Ω. Find the value of V1 using nodal analysis. The nodal equation when the 10Ω and 5Ω resistors are not combined is: (V1 − 10)A + B10 + (V1 − 0)C + D4 = 0

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Assume Landen’s controller is right about machine-hours being a more accurate overhead cost allocation base than direct labor-hours. If the company continues to use direct labor-hours as its only overhead cost allocation base, what implications does this have for pricing jobs such as Job 550?

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There are lots of different things you can own that you hope go up in value and then sell. I bet you know one of the most prominent equity investment products already. How can you own a corporation? By buying stock in the company By asking to buy the company from the owners By buying bonds in the company.

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MNB(Q) = 24 + -8 Q d. What are the marginal net benefits when Q = 1? Q = 5? Marginal net benefits when Q = 1: 16 Marginal net benefits when Q = 5: -16 e. What level of Q maximizes net benefits? f. At the value of Q that maximizes net benefits, what is the value of marginal net benefits?

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b) A tank initially contains 2000 L of pure water. Brine water containing 0.2 kg of salt per liter of water enters the tank at a rate of 10 L/min. Another solution of brine water containing 0.5 kg of salt per liter of water enters the tank at a rate of 20 L/min. The solution within the tank is uniformly mixed at all times and is drained at a rate of 25 L/min. Derive an expression for the mass of salt within the tank after $t$ minutes.

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4.2: A 44 m$^3$ room contains air at 98 kPa, 20 $^\circ$C and 85\% relative humidity. What is the partial pressure of the dry air, specific humidity of the air and the air enthalpy per unit of dry air mass?

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Consider a continuous-time LTI Gaussian filter H with impulse response - ht = 2T^0.2 where T and R are constants. a) Find the filter frequency response H(ω). Hint: Carefully set up the Fourier transform integral. Pull out the constants and combine all the exponentials that remain under the integral. This will leave you with an integrand that is an exponential where the exponent is a quadratic polynomial with complex coefficients. You should be able to find this definite integral in your math handbook (or any other good table of definite integrals) and just write down the answer. b) Find the spectral magnitude A(ω) and spectral phase φ(ω). Hint: the spectral magnitude and spectral phase for a DTFT X(e^jω) are defined on page 3.99 of the notes. For the continuous Fourier transform, they are defined analogously; i.e., H(ω) = A(ω)e^(jφ(ω)). c) Find the group delay of the filter. Hint: group delay is defined on page 3.120 of the notes. d) Can you find conditions on the constants T and R to guarantee that the impulse response h(t) and frequency response H(ω) will both be Gaussian functions?

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a: 42.6kVAR b: 37.5kVAR C: 5.10kVAR d: None of the above The generator supplies power to the two induction motors as shown in the circuit below. The total reactive power supplied by the generator is about: $R_{line} = 5 \Omega$ Generator 100 kVA 230 V @ 60Hz Load A Load B Load A: 50 kW PF = 0.8 lagging Load B: 5 kW PF = 0.7 lagging

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Find a formula for the $n^{th}$ term, $T_n$, of the following arithmetic sequence: -5, -11, -17, -23, ... $T_n = $

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