Numerade

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The optimal solution to the original IP problem is: X=3, Y=5 and Objective Function Value=37.00 X=2, Y=7 and Objective Function Value=43.00 X=2, Y=6 and Objective Function Value=38.00 None of these X=1, Y=7 and Objective Function Value=39.00 Clear my selection

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A company has a cost that is $7.50 per unit at a volume of 10,000 units and $5,00 per unit at a volume of 15,000 units. What type of cost is this? a. incremental costs b. mixed costs c. fixed costs d. variable costs

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Find the general indefinite integral. (Use C for the constant of integration.)\\ $\int (4\sqrt{x^3} + 7\sqrt[3]{x^2}) dx$

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A battery harnesses a chemical reaction to extract energy in the form of useful electrical work. A certain battery runs a small fan and becomes partially discharged. In the process, it performs a total of 181.1 J of work on its immediate surroundings. It also gives off 5.8 J of heat, which the surroundings absorb. No other work or heat is exchanged with the surroundings. Compute q, w, and ΔU of the battery, making sure each quantity has the proper sign. q = J w = J ΔU = J The same battery is then recharged to exactly its original condition. This requires 407.8 J of electrical work from an outside generator. Determine q for the battery in this process, again making sure it has the proper sign. qcharging = J

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A uniformly charged insulating rod of length 11.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of -7.50 µC. (a) Find the magnitude of the electric field (in N/C) at O, the center of the semicircle. ? N/C (b) Find the direction of the electric field at O, the center of the semicircle. ? to the left ? to the right ? upward ? downward ? into the page ? out of the page (c) What if? What would be the magnitude of the electric field (in N/C) at O if the top half of the semicircle carried a total charge of -7.50 µC and the bottom half, insulated from the top half, carried a total charge of +7.50 µC? ? N/C (d) What would be the direction of the electric field at O if the top half of the semicircle carried a total charge of -7.50 µC and the bottom half, insulated from the top half, carried a total charge of +7.50 µC? ? to the left ? to the right ? upward ? downward ? into the page ? out of the page

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2. Using these fossils, fill in the following chart: boisei afarensis a. Front tooth (incisors and canines) relative size (smaller/larger) b. Back tooth (premolars and molars) relative size (smaller/larger) c. Relative Brain size (smaller/larger) d. Sagittal crest? (Absent/Present) e. Mandible (Jaw-bone) robusticity? (Robust or Gracile)? 2. Based on these above, which skull is a robust australopithecine and which is gracile? f. boisei ___________ g. afarensis ___________

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(1) Determine the reactions for the cantilever beam P = 20 N q = 40 N/m 2 m C 2 m B (2) Draw the V-M diagrams & Label the values at key points (including maximum).

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1. 1. Why is capitalism essentially unjust, in Marx's view? How do business cycles doom capitalism to failure, that is, what is the mechanism that Marx has in mind that will lead to the destruction of capitalism? How does he argue for the point that the economic structure of a nation determines the consciousness of its people? Refer and evaluate at least three of the ten points that Marx and Engels use to characterize practical policy for the future.

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5. Referring to the instantaneous circuit in Figure Q5, DCSUPPLY + PS1 S R R1 C C1 Figure Q5 a) what is the time constant ($\tau$) of the circuit if the value of resistance and capacitance is set to 8 k$\Omega$ and 0.1 $\mu$F? (2 marks) b) calculate the value of current and voltage drop across the resistor and capacitor at the instant of 25 miliseconds connected to supply voltage of 200 V. (6 marks) c) calculate the time taken for the circuit to reach the voltage drop across capacitor of 80 V. (4 marks) d) Discuss the changes on the value of current and voltage drop across resistor and capacitor if the value of resistor is changed to 4 k$\Omega$. (4 marks) 6. For a given RC circuit connected to 50V supply, it takes 5 $\mu$s for a capacitor to charge to half the battery voltage, through a 10 k$\Omega$ resistor, what is the capacitance C? If the capacitance is doubled, describe the changes on the time constant of the circuit. (4 marks)

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The heat loss over a period of 24 h due to convection from a 7 ft-long pipe with a diameter of 5 in is given as 8,570.1 Btu. If the temperature of the pipe surface is 237 \textdegree F and that of air is 68 \textdegree F, calculate the pipe's heat transfer coefficient in Btu/hc$^2$. F

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carlos p.