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- A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…your natural gas bill is calculated as sum of the fixed monthly cost and a rate per therm of natural gas used. given a usage of 183 therms with a bill of $116.05 for this month and a usage of 129 therms with a bill of $85.80 for last month, determind the fixed monthly cost and rate of your bill with appropriate units.Give the correct solution to the given problems.
- What would be the solutions to these problems?please don't provide hand wrtten solution....How many shoes would be required to sell to earn an operating profit of P1, 000, 000 if the XYZ Company sells this product with the following information: Selling price per unit of product x is 860, variable cost per unit is 600, and the total fixed cost is 8,000,000
- Please don't providehandwritten solution ....Use your critical thinking and reasoning skills to solve the following problem. Yana has been out of work for four months due to pandemic Covid-19 crisis. Then, in the same week, she is offered jobs by two different companies, the 99 Speedmart and KK Super Mart. KK Super Mart is paying higher hourly rate and is nearer to her home but she has to work on 24 hours shift, while 99 Speedmart is located 2 kms far from Yana’s home but nearer to her child’s day care centre. What should Yana do? Make a decision for Yana and explain why that is a good decision for her. Feel free to make up the various circumstances in her life—for example, whether Yana is a student or owns a motorcycle. The more reasons you can give for her decision, the better.32. A hardware company sells a lot of low-cost, highvolume products. For one such product, it is equallylikely that annual unit sales will be low or high. Ifsales are low (30,000), the company can sell theproduct for $20 per unit. If sales are high (70,000),a competitor will enter and the company will be ableto sell the product for only $15 per unit. The variablecost per unit has a 20% chance of being $10, a 60%chance of being $11, and a 20% chance of being $12.Annual fixed costs are $20,000.a. Use simulation to estimate the company’s expectedannual profit.b. Find a 95% interval for the company’s annualprofit, that is, an interval such that about 95% ofthe actual profits are inside it.c. Now suppose that annual unit sales, variable cost,and unit price are equal to their respective expectedvalues—that is, there is no uncertainty. Determinethe company’s annual profit for this scenario.d. Can you conclude from the results in parts a and cthat the expected profit from a simulation is…
- Anita electric company produces two products P and P2. Products are produced and sold on a weekly basis. The weekly production cannot exceed 25 for product P and 35 for product P2 because of limited available facilities. The company employs total of 60 workers. Product P requires 2 man-weeks of labour, while P, requires one man-week of labour. Profit margin on P is Rs. 60 and on P, is Rs. 40. Formulate this problem as an LP problem and solve that using graphical method.Please provide full and clear solution to the given problem