In marginal analysis, when comparing costs and benefits, an optimal choice is found when . (Note: MB = marginal benefit, MC = marginal cost, TB = total benefit, and TC = total cost.) Select the correct answer below:
a. MB≥MC
b. MB c. TB=TC
d. TB>TC

"in my opinion, we ought to stop making our own drums and accept that outside supplier's offer," said wim niewindt, managing director of antilles refining, n.v., of aruba. "at a price of $21 per drum, we would be paying $4.70 less than it costs us to manufacture the drums in our own plant. since we use 70,000 drums a year, that would be an annual cost savings of $329,000." antilles refining's current cost to manufacture one drum is given below (based on 70,000 drums per year):

Afirm wants to hire a project manager (pm) at a salary of $100,000. 30% of pms have high ability, and 70% of pms have low ability. high ability pms generate $120,000 in revenue and low ability pms generate $80,000 in revenue. in addition to differences in productivity, high and low ability pms have different outside offers. if a high ability pm is not hired by the firm, she can work for another company at a salary of $80,000. if the low ability pm is not hired by the firm, she can work for another company for $70,000. high ability pms are also able to get a project management professional (pmp) certification at a cost of $1,000. low ability pms are unable to get a pmp certification (they would fail the test). the firm is not able to observe a pm’s ability, but is able to observe and verify whether or not the pm has a pmp certificate.(a) draw the extensive form of the game.expert answer

Q3. loral corporation manufactures parts for an aircraft company. it uses a computerized numerical controlled (cnc) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ± 0.020 inch. the cnc process that manufactures these parts has a mean of 1.285 inches and a standard deviation of 0.005 inch. compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.