Question Solved1 Answer 2.8. You are given the following linear programming model in algebraic form, where x1 and x2 are the decision variables and Z is the value of the overall measure of performance. Maximize Z = 3x1 + 2x2 subject to Constraint on resource 1: 3x1 + x2 < 9 (amount available) Constraint on resource 2: x1 + 2x2 < 8 (amount available) and x1 > 0 x2> 0 a. Identify the objective function, the functional con- straints, and the nonnegativity constraints in this model. b. incorporate this model into a spreadsheet c. Is (x1, x2) = (2, 1) a feasible solution? d. Is (x1, x2) = (2, 3) a feasible solution? e. Is (x1, x2) = (0, 5) a feasible solution? f. Use Solver to solve this model.

1. A project has been defined to contain the following list of activities along with their required times for completion. Activity No. Activity Time (Weeks) Immediate Predecessors 1 Collect requirements 2 2 Analyze processes 3 1 3 Analyze data 3 2 4 Design processes 7 2 5 Design data 6 2 6 Design screens 1 3,4 7 Design reports 5 4,5 8 Program 4 6,7 9 Test and document 8 7 10 Install 2 8.9 a. Draw a network diagram for the activities. b. Calculate the earliest expected completion time. c. Show the critical path. d. What would happen if activity 6 were revised to take 6 weeks instead of 1 week? 2. Construct a Gantt chart for the project defined in Problem 1.

Consider this equation, where $a$ , $b$ and $k$ are constants, $$\frac{dy}{dt} = k(a-y)(b-y)$$ Assuming an initial condition $y=0$ at $t=0$ Solve this equation for $y(t)$ for the case $a=b$ . Solve this equation for the case $0 \lt a \lt b$ By considering the limit $b \rightarrow a$ in 2) show that the two results are consistent with each other. So I am confident with my result for (i), through separating the variables, integrating then finding the constant of integration by using the initial conditions, resulting in: $$y(t) = -\frac{1}{kt}$$ However I am confused as to how to solve for the case of limits ? Any help would be appreciated.

8.84 m At its Ames Research Center, NASA uses its large "20-G" centrifuge to test the effects of very large accelerations ("hypergravity") on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an astronaut is strapped in at the other end. Suppose that he is aligned along the centrifuge's arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this device is typically 12.5g. Use g = 10 m/s2 A. How fast (in m/s) must the astronaut's head be moving to experience this maximum acceleration? B. How fast in rpm (rev/min) is the arm of the device turning to produce the maximum sustained acceleration? Enter a positive number. C. How fast (in m/s) are the astronaut's feet moving if he is 2.00 m tall, and the arm is rotating with the speed found in (B)? D. What is the difference between the centripetal acceleration of his head and feet? Express your answer in m/s2 and enter a positive number.

Question 4 of 5 -11 View Policies Current Attempt in Progress Blue Spruce Corp. has decided to expand its operations. The bookkeeper recently completed the following statement of financial position in order to obtain additional funds for expansion: $ 280,000 BLUE SPRUCE CORP Statement of Financial Position For the Year Ended December 31, 2020 Current assets Cash (net of bank overdraft of $38,000) Accounts receivable (net) Inventory at the lower of cost and net realizable value FV-Nl investments (at cost-fair value $190.000) Property, plant, and equipment Buildings (net) 382,000 431.000 150,000 600,000 Equipment (net) 170,000 Land held for future use 255,000 Intangible assets Goodwill 94.000 Intangible assets Goodwill Investment in bonds to collect cash flows, at amortized cost Prepaid expenses 94,000 108.000 23.000 Current liabilities 395,000 145.000 Accounts payable Notes payable (due next year) Pension obligation Rent payable Long-term liabilities 97.000 54.000 18.000 Bonds payable Shareholders equity Common shares.unlimited authorired. 450.000 Contributed Surplus Denders 450 000 330.000 Com Question 4 of 5 -/1 la) Prepare a revised statement of financial position using the available information. Assume that the bank overdratt relates to a bank account held at a different bank from the account with the cash balance. Assume that the accumulated depreciation balance for the buildings is $190,000 and that the accumulated depreciation balance for the equipment is $275.000 The allowance for doubtful accounts has a balance of $19.000. The pension obligation is considered a lone term ability (List Current Assets in order of liquidity List Property Plant and Equipment in order of land, Buildings and Equipment) BLUE SPRUCE Corp. Statement of Financial Position Assets $

Ciara is skiing along a circular ski trail that has a radius 3.2 km long. She starts at the 3-o'clock position and travels in the CCW direction. Clara stops skiing when she is - 2.564 km to the right and 1.915 km above the center of the ski trail. Imagine an angle with its vertex at the center of the ski trail that subtends Ciara's path. 1. How many radians Ciara is skiing along a circular ski trail that has a radius 3.2 km long. She starts at the 3-o'clock position and travels in the CCW direction. Clara stops skiing when she is - 2.564 km to the right and 1.915 km above the center of the ski trail. Imagine an angle with its vertex at the center of the ski trail that subtends Ciara's path. 1. How many radians has the angle swept out since Ciara started skiing? radians Preview b. How many km has Ciara skied since she started skiing? If km Preview

47-58 - Composition of Functions Find the functions $f \circ g$ , $g \circ f, f \circ f$ , and $g \circ g$ and their domains.