During 2020, $83 of raw materials were purchased, direct labor costs amounted to $67, and manufacturing overhead incurred was $64. waterway industries's total manufacturing costs incurred in 2020 amounted to

Select the correct answers. mila is at a flea market. she has $50 in her wallet. she decides that she will spend $15 on jewelry, $20 on a pair of jeans, $5 on a t-shirt, and $10 on something to eat. she likes a one-of-a-kind t-shirt, but the seller is not ready to sell it for less than $8. she thinks of five ways to deal with this situation. which two choices indicate a trade-off?

Tom has brought $150,000 from his pension to a new job where his employer will match 401(k) contributions dollar for dollar. each year he contributes $3,000. after seven years, how much money would tom have in his 401(k)?

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.