Aconsumer spends all of her income(y) on two goods z and b. the price of good b (pb) is $6. the marginal rate of transformation mrt is equal to −2. that is 2 units of good b can be traded for 1 unit of good z. this consumer is able to buy 18 units of good z and 0 units of good b with his/her income. what is this consumer's level of income?

the consumer's income is $ ( )(round your answer to the nearest penny).

Manipulation manufacturing's (amm) standards anticipate that there will be 5 pounds of raw material used for every unit of finished goods produced. amm began the month of maymay with 8,000 pounds of raw material, purchased 25,500 pounds for $ 15,300 and ended the month with 7,400 pounds on hand. the company produced 4,9004,900 units of finished goods. the company estimates standard costs at $ 1.10 per pound. the materials price and efficiency variances for the month of maymay were:

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

)a business incurs the following costs per unit: labor $125/unit, materials $45/unit, and rent $250,000/month. if the firm produces 1,000,000 units a month, calculate the following: a. total variable costs b. total fixed costs c. total costs