Sasha buys a cold soda and a slice of pizza. The marginal utility from a soda is 40, and the price of the soda is $1. The marginal utility from a slice of pizza is 80. Assume Sasha is successfully maximizing his utility. Of this is the case, we know the price of a slice of pizza must be:

Accublade castings inc. casts blades for turbine engines. within the casting department, alloy is first melted in a crucible, then poured into molds to produce the castings. on may 1, there were 230 pounds of alloy in process, which were 60% complete as to conversion. the work in process balance for these 230 pounds was $32,844, determined as follows: exercises during may, the casting department was charged $350,000 for 2,500 pounds of alloy and $19,840 for direct labor. factory overhead is applied to the department at a rate of 150% of direct labor. the department transferred out 2,530 pounds of finished castings to the machining department. the may 31 inventory in process was 44% complete as to conversion. prepare the following may journal entries for the casting department: the materials charged to production the conversion costs charged to production the completed production transferred to the machining department determine the work in process"casting department may 31 balance.

Gino's restaurant is a popular restaurant in boston, massachusetts. the owner of the restaurant has been trying to better understand costs at the restaurant and has hired a student intern to conduct an activity-based costing study. the intern, in consultation with the owner, identified the following major activities: activity cost pool activity measure serving a party of diners number of parties served serving a diner number of diners served serving drinks number of drinks ordered some costs, such as the cost of cleaning the linens that cover the restaurant's tables, vary with the number of parties served. other costs, such as washing plates and glasses, depends on the number of diners served or the number of drinks served. data concerning these activities are shown below. serving a party serving a dinner serving drinks total total cost $47,600 $153,000 $59,800 $260,400 total activity 7,000 parties 30,000 diners 46,000 drinks prior to the activity-based costing study, the owner knew very little about the costs of the restaurant. she knew that the total cost for the month was $260,400 and that 30,000 diners had been served. therefore, the average cost per diner was $8.68.required: 1. compute the activity rates for each of the three activities 2. according to the activity-based costing system, what is the total cost of serving each of the following parties of diners? a. a party of four diners who ordered three drinks in total b. a party of two diners who do not order any drinks c. a lone diner who orders two drinks 3. convert the total costs you computed in part (1) above to costs per diner. in other words, what is the average cost per diner for serving each of the following parties: a. a party of four diners who order three drinks in total b. a party of two diner who do not order any drinks c. a lone diner who orders two drinks 4. why do the costs per diner for the three different parties differ from each other and from the overall average coast of $9.80 per diner?

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.