Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment. Using the table of returns and probabilities below, find

Probability Return
Boom 0.4 25.00%
Good 0.3 15.00%
Level 0.1 10.00%
Slump 0.2
-5.00%

a) What is hte expected return on Barbara's investment? (Round answer to 3 decimal places, e. g. 0.076)

b) What is the standard deviation of the return on Barbara's investment? (Round answer to 5 decimal places, e. g. 0.07680)

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Omnidata uses the annualized income method to determine its quarterly federal income tax payments. it had $100,000, $50,000, and $90,000 of taxable income for the first, second, and third quarters, respectively ($240,000 in total through the first three quarters). what is omnidata's annual estimated taxable income for purposes of calculating the third quarter estimated payment?

Emery pharmaceutical uses an unstable chemical compound that must be kept in an environment where both temperature and humidity can be controlled. emery uses 825 pounds per month of the chemical, estimates the holding cost to be 50% of the purchase price (because of spoilage), and estimates order costs to be $48 per order. the cost schedules of two suppliers are as follows: vendor 1 vendor 2 quantity price/lb quantity price/lb 1-499 $17 1-399 $17.10 500-999 $16.75 400-799 $16.85 1000+ $16.50 800-1199 $16.60 1200+ $16.25 (a) what is the economic order quantity for each supplier? (b) what quantity should be ordered and which supplier should be used? (c) the total cost for the most economic order sire is $