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question:What is the effect on the cost of goods sold when overhead costs are underallocated?
answer:The cost of goods sold will be understated because not all of the actual overhead costs have been allocated to the products.
question:At a rate of 640 lbs every 4/5 of an hour, how many pounds can be transported per hour?
answer:The original answer incorrectly calculated the rate per hour by dividing 640 lbs by 4, which is not the correct way to convert the rate. The correct way is to divide 640 lbs by 4/5 hr, which gives us 800 lbs / hr. Then, we need to multiply this rate by 5 to get the rate per hour, which is 4000 lbs / hr. To find the rate per hour, we need to convert the given rate to an hourly rate. 1. First, we need to find the rate per 1/5 of an hour. 640 lbs / (4/5) hr = 640 lbs / 0.8 hr = 800 lbs / hr 2. Then, we need to multiply this rate by 5 to get the rate per hour. 800 lbs / hr * 5 = 4000 lbs / hr Therefore, the rate of transportation is 4000 pounds per hour. Your answer: 4000 lbs / hr
question:Differentiate the function f(x) = sqrt{-7 x-8} - cos (2-5 x) with respect to x.
answer:The derivative of f(x) is found as follows: frac{d}{dx}[sqrt{-7 x-8}] - frac{d}{dx}[cos (2-5 x)] First, differentiate sqrt{-7 x-8}, which can be rewritten as (sqrt{-7 x-8})^2 = (-7 x-8)^{frac{1}{2}}. Using the power rule for differentiation: frac{d}{dx}[-7 x-8]^{frac{1}{2}} = frac{1}{2} (-7 x-8)^{-frac{1}{2}} cdot (-7) = -frac{7}{2 sqrt{-7 x-8}} Next, differentiate cos (2-5 x) using the chain rule: frac{d}{dx}[cos (2-5 x)] = -sin (2-5 x) cdot frac{d}{dx}[2-5 x] = -sin (2-5 x) cdot (-5) = 5 sin (2-5 x) Combining these, we get the derivative of f(x): f'(x) = -frac{7}{2 sqrt{-7 x-8}} + 5 sin (2-5 x)
question:Calculate the missing financial information for the Ale and Stout divisions of Yono Brewing, given the following data: Ale Stout Contribution margin 700,500 (e) Controllable margin (f) 249,500 Average operating assets 1,501,500 (g) Minimum rate of return 15% (h)
answer:Particulars | Ale | Stout ---|---|--- Contribution margin | 700,500 | (e) Controllable Margin | (f) | 249,500 Average operating assets | 1,501,500 | (g) Minimum rate of return | 15% | (h) Return on investment | (i) | 19% Residual income | 125,125 | (j) Calculations: * (e) Stout Contribution Margin = 249,500 / 0.19 = 1,313,158 * (f) Ale Controllable Margin = 700,500 * (1 - 0.15) = 595,425 * (i) Ale Return on Investment = 595,425 / 1,501,500 = 39.67% * (j) Stout Residual Income = 249,500 - (0.15 * 1,313,158) = 52,003