A firm has $100 in cash and debt of $80. Assume that the time value of money is zero. A novel project comes along that costs $60 and that will either deliver $0 or x with equal probabilities

1. What is the value of debt and equity without the project?

2. What is the x value above which the project would be positive NPV? Call this xh

3. What is the x value above which the shareholders want the firm to take the project? Call this xl.

4. Divide the possible regions into those below xl, those between xl and xh, and those above xh. More specifically, pick xl – $10, (xl + xh)/2, and xh + 10 as your returns in the good state. In these three cases:

     a) If the debt can convert into 80% of the postconversion equity, what would the debt and equity be worth? Would existing equity want to take the project?

     b) If the debt can convert into 0% of the postconversion equity (i.e., if it is not convertible), what would the debt and equity be worth? Would existing equity want to take the project?

      c) If the debt can convert into 40% of the postconversion equity, what would the debt and equity be worth? Would existing equity want to take the project?

   5. Do you have all the information needed to recommend a conversion rate to maximize the value of the firm today?

To determine the possible effect of a chemical treatment on the rate of seed germination, 100 chemically treated seeds and 150 untreated seeds were sown. It was found that 88 of the chemically treated seeds and 126 of the untreated seeds germinated. Is there a difference in the proportions? Does the chemical trim in effect seed germination?

A company’s Depart A had a beginning WIP of 200,000 units with 100% completed as it pertains to direct materials and only 40% as it pertains to conversion costs. Department A started 500,000 units during the period. Department A transferred 400,000 total units to Department B during the period. Department A’s ending WIP had 90% of direct materials completed and 30% of conversion costs. Compute the equivalent units of production for the period for direct materials and conversion costs. (10 points)

Please solve the following game:

Assume that a total $100 grant will be shared by the three researchers, X, Y, and Z. Each person is rational and selfish. There are six proposals with different shares of (X, Y, Z) for choices as the following.

Proposal I: (X, Y, Z) = (50, 40, 10)

Proposal II: (X, Y, Z) = (60, 10, 30)

Proposal III: (X, Y, Z) = (40, 20, 40)

Proposal IV: (X, Y, Z) = (20, 30, 50)

Proposal V: (X, Y, Z) = (30, 50, 20)

Proposal VI: (X, Y, Z) = (20, 50, 30)

The rule of choosing the final proposal is simple. First, Z is the person to determine who (either X or Y) is the proposal raiser. Then the proposal raiser chooses a particular proposal. Finally, the last person has the right to pass it or reject it. If the last person’s payoff is the smallest among the three, then the proposal will be rejected and no one will get anything. The decision making process can be done by only one time. Which proposal will be the final outcome? Explain the decision briefly.

Suppose that in a random selection of 100 colored​ candies, 25​% of them are blue. The candy company claims that the percentage of blue candies is equal to 21​%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.21 Upper H 1​: pgreater than0.21 B. Upper H 0​: pnot equals0.21 Upper H 1​: pequals0.21 C. Upper H 0​: pequals0.21 Upper H 1​: pless than0.21 D. Upper H 0​: pequals0.21 Upper H 1​: pnot equals0.21 Your answer is correct. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.).

The life span of 100 W light bulbs manufactured by a company are tested. It is found that (8 %) of the light bulbs are rejected. A random sample of 15 bulbs is taken from stock and tested. The random variable X is the number of bulbs that is rejected.

a. Give four reasons why ? will have a binomial distribution.

b. Use a formula to find the probability that 2 light bulbs in the sample are rejected.

c. If the true probability of a rejected light bulb is 0.5340. Among the next 6 randomly selected bulbs, what is the probability that at least one of them is accepted?

d. If life span of light bulbs is adjusted so that the mean now is ?.

Find the value of ?:

i. Given that ?(?=0)=0.25.

ii. Given that the variance of ? is 2.4.

explain writing and balancing chemical equations in greater than 100 words

For a given economy, investment is 100, government spending is 150 and taxes are 90. the consumption function is C=120+.75 YD

Calculate the government expenditure multiplier and the tax multiplier.

A. 3, 4

B. -3, 4

C. 4, -3

D. 4, 3

The market demand curve is given by

p = 100 - Q

Two firms, A and B, are competing in the Cournot fashion. Both firms have the constant marginal cost of 70. Suppose firm A receives a new innovation which reduces its marginal cost to c. Find the cutoff value of c which makes this innovation "drastic".