Consider a simple model of a consumer's intertemporal consumption problem. paul lives for two periods, working in the first and retiring in the second. paul earns an income of i in the first period and zero in the second. he must decide how much of his income to consume in the first period and how much to save for consumption in the second period. on any money that paul saves for the second period, paul earns interest at the rate r. so, paul's consumption in period 2 is given by c_2 = (1 + r) (i - c_1) paul's utility function can be written: u (c_1, c_2) = squareroot c_1 + squareroot c_2 (a) if paul has income equal to $100,000 in the first period, and the market interest rate is 10%, how much does paul consume in each period? how much does paul save? (b) if paul must pay income tax at the rate of 25% of income on labor income in the first period, how do your answers change? does the ratio of second period consumption to first period consumption change? why or why not? (c) now assume that paul must pay income tax at the rate of 25% of income on labor income in the first period and also on interest income in the second period. how do your answers to question

Question 1 which of the following tasks use your roommate as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough spoon cookies onto the tray unload the cookies from the oven pack the cookies 1 points question 2 which of the following tasks use the tray(s) as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough bake the cookies cool the cookies accept payment 1 points question 3 determine the task time for the following tasks. fill integer numbers into the blank (e.g., 5 rather than 5.0) wash and mixing the dough: minute(s)/order spoon cookies onto the tray: minute(s)/order set up timer: minute(s)/order bake: minute(s)/order cool the cookies: minute(s)/order pack the cookies: minute(s)/order accept payment: minute(s)/order 2 points question 4 q4: determine the cycle time for the following resources. fill integer numbers into the blank (e.g., 5 rather than 5.0) kristen (you): minute(s) roommate: minute(s) oven: minute(s) 2 points question 5 what is the capacity rate (in orders/hour) of the roommate? 1 points question 6 what is the capacity rate (in orders/hour) of the whole process? 2 points question 7 how long (in minutes) it takes to process the first order?

Your uncle is considering investing in a new company that will produce high quality stereo speakers. the sales price would be set at 1.5 times the variable cost per unit; the variable cost per unit is estimated to be $75.00; and fixed costs are estimated at $1,200,000. what sales volume would be required to break even, i.e., to have ebit = zero?

1. what are the unique operational challenges to delivering fresh meals? 2. why is speed of delivery so important for delivered meals? what variety of options contribute to this performance metric? 3. how could operations management concepts be utilized to improve the performance of freshly? 4. what are your typical product delivery times? what would be required to speed these up? 5. what are your delivery batch quantities? how could you reduce batch size and reduce delivery cost simultaneously using operations management concepts?