Perez, Inc. recently completed 40,000 units of a product that was expected to consume six pounds of direct material per finished unit. The standard price of the direct material was $7.50 per pound. If the firm purchased and consumed 246,000 pounds in manufacturing (cost = $1,881,000), the direct-material quantity variance would be (with steps)

Sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. if the can's contents follow a normal distribution, what is the probability that the mean contents of a six pack are less than 12 ounces?

Jamie is saving for a trip to europe. she has an existing savings account that earns 3 percent annual interest and has a current balance of $4,200. jamie doesn’t want to use her current savings for vacation, so she decides to borrow the $1,600 she needs for travel expenses. she will repay the loan in exactly one year. the annual interest rate is 6 percent. a. if jamie were to withdraw the $1,600 from her savings account to finance the trip, how much interest would she forgo? .b. if jamie borrows the $1,600 how much will she pay in interest? c. how much does the trip cost her if she borrows rather than dip into her savings?

Estimate the prouduct sovle using an area modelestimate the product you solve using an area model and the standard algorithm.remeber to express your products in the standard form