Lottery – Let $1,000 be your current wealth. There are 100 people and each buys a lottery ticket at $5. The administrative cost of the lottery ticket per person is $5. If you win the lottery, you will get $500. There is only one person who can win the lottery. a. Define the gamble b. Calculate the expected value of the gamble c. Is this gamble favorable, fair, or unfavorable? d. Now, suppose your utility function is U = W5/2. Calculate the Certainty Equivalent and the maximum lottery price you are willing to pay. e. Now suppose that there are only 50 individuals participating in the lottery. Without calculating all the math again, what happens to the maximum price for the lottery you are willing to pay? Does it increase, decrease, or stay the same?

The direct labor budget of yuvwell corporation for the upcoming fiscal year contains the following details concerning budgeted direct labor-hours: 1st quarter 2nd quarter 3rd quarter 4th quarterbudgeted direct labor-hours 11,200 9,800 10,100 10,900the company uses direct labor-hours as its overhead allocation base. the variable portion of its predetermined manufacturing overhead rate is $6.00 per direct labor-hour and its total fixed manufacturing overhead is $80,000 per quarter. the only noncash item included in fixed manufacturing overhead is depreciation, which is $20,000 per quarter.required: 1. prepare the company’s manufacturing overhead budget for the upcoming fiscal year.2. compute the company’s predetermined overhead rate (including both variable and fixed manufacturing overhead) for the upcoming fiscal year.