By​ studying, Will can produce a higher​ grade, ​, on an upcoming economics exam. His production function depends on the number of hours he studies marginal analysis​ problems, A, and the number of hours he studies supply and demand​ problems, R. ​Specifically, Gw = 2.5A^0.36R^(0.64)
His roommate​ David's grade-production function is
2.5A^0.25R^(0.75)
Note that d​/dR and d​/dR. ​Will's marginal productivity of studying supply and demand problems is:.
a. 1.60A^0.36R^-0.36.
b. 0.64(GW/R).
c. 2.5A^0.36R%0.64/R.
d. both a and b.
e. all of the above.

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

In order to be thoughtful about the implementation of security policies and controls, leaders must balance the need to reduce with the impact to the business operations. doing so could mean phasing security controls in over time or be as simple as aligning security implementation with the business’s training events.

An allergy products superstore buys 6000 of their most popular model of air filters each year. the price of the air filters is $18. the cost of ordering and receiving shipments is $12 per order. accounting estimates annual carrying costs are 20% of the price. the supplier lead time is 2 days. the store operates 240 days per year. each order is received from the supplier in a single delivery. there are no quantity discounts. what is the store’s minimum total annual cost of placing orders & carrying inventory?