3. You draw one card from a standard 52 card deck. If you draw a heart, you will win $10. If you draw a face card that is not a heart, you win $8. IF you pick any other card, you lose $6. What is the expected value of this game?

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?

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.