Luis is consuming his optimal consumption bundle of pizza and tacos. The marginal utility associated with the last pizza he consumes is 1 util, and the marginal utility associated with the last taco is 3 utils. What must be the relative price of pizza in terms oftacos?A)0.33B)1C)3D)The relative price is undefined.

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing​ company: work in process inventory ​$0 raw materials inventory $ 29 comma 000 finished goods inventory $ 40 comma 900 additional​ data: 1. actual manufacturing overhead for january amounted to $ 62 comma 600. 2. total direct labor cost for january was $ 63 comma 600. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no.​ 151, for which total direct labor charges were $ 5 comma 700 ​(1 comma 000 direct labor​ hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 300. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 200. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for​ january

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

You are working on a bid to build two city parks a year for the next three years. this project requires the purchase of $249,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the three-year project life. ignore bonus depreciation. the equipment can be sold at the end of the project for $115,000. you will also need $18.000 in net working capital for the duration of the project. the fixed costs will be $37000 a year and the variable costs will be $148,000 per park. your required rate of return is 14 percent and your tax rate is 21 percent. what is the minimal amount you should bid per park? (round your answer to the nearest $100) (a) $214,300 (b) $214,100 (c) $212,500 (d) $208,200 (e) $208,400