During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $28 for product 2, and $30 for product 3.a. Formulate a linear programming model for maximizing total profit contribution.

At cooly cola, we are testing the appeal of our new diet one cola. in a taste test of 250 randomly chosen cola drinkers, 200 consumers preferred diet one cola to the leading brand. assuming that the sample were large enough, the large-sample 95% confidence interval for the population proportion of cola drinkers that prefer diet one cola would be:

Lillypad toys is a manufacturer of educational toys for children. six months ago, the company's research and development division came up with an idea for a unique touchscreen device that can be used to introduce children to a number of foreign languages. three months ago, the company produced a working prototype, and last month the company successfully launched its new device on the commercial market. what should lillypad's managers prepare for next? a. increased competition from imitators b. a prolonged period of uncontested success c. a sharp decline in demand for the product d. a difficult struggle to move from invention to innovation

On january 1, 2017, pharoah company issued 10-year, $2,020,000 face value, 6% bonds, at par. each $1,000 bond is convertible into 16 shares of pharoah common stock. pharoah’s net income in 2017 was $317,000, and its tax rate was 40%. the company had 97,000 shares of common stock outstanding throughout 2017. none of the bonds were converted in 2017. (a) compute diluted earnings per share for 2017. (round answer to 2 decimal places, e.g. $2.55.) diluted earnings per share