What is the expected value when a $1 lottery ticket is bought in which the purchaser wins exactly $10 million if the ticket contains the six winning numbers chosen from the set {1, 2, 3,…, 50} and the purchaser wins nothing otherwise?

Most angel investors expect a return on investment of question options: 20% to 25% over 5 years. 15% to 20% over 5 years. 75% over 10 years. 100% over 5 years.

Abc factory produces 24,000 units. the cost sheet gives the following information: direct materials rs. 1,20,000direct labour rs. 84,000variable overheads rs. 48,000semi variable overheads rs. 28,000fixed overheads rs. 80,000total cost rs. 3,60,000presently the product is sold at rs. 20 per unit.the management proposes to increase the production by 3,000 units for sales in the foreign market . it is estimated that semi variable overheads will increase by rs. 1,000. but the product will be sold at rs. 14 per unit in the foreign market. however, no additional capital expenditure will be incurredq-1. what is present profit of the company ? q-2. what is proposed profit of the company in new market? q-3.what is suggestion for new makret proposal whether proposal accept or not

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.