A pension fund is considering three mutual funds. The first is a stock fund, the second is a bond fund, and the third is a short-term Treasury fund yielding 1%. The distributions of the risky funds are: Expected Return Standard Deviation Stock Fund (S) 10% 25% Bond Fund (B) 5% 12% The correlation between the fund returns is 0.2. Find the weights on stocks (ws) and bonds (wb) associated with the optimal tangency portfolio.

Sweeten company had no jobs in progress at the beginning of march and no beginning inventories. the company has two manufacturing departments--molding and fabrication. it started, completed, and sold only two jobs during march—job p and job q. the following additional information is available for the company as a whole and for jobs p and q (all data and questions relate to the month of march): molding fabrication total estimated total machine-hours used 2,500 1,500 4,000 estimated total fixed manufacturing overhead $ 10,000 $ 15,000 $ 25,000 estimated variable manufacturing overhead per machine-hour $ 1.40 $ 2.20 job p job q direct materials $ 13,000 $ 8,000 direct labor cost $ 21,000 $ 7,500 actual machine-hours used: molding 1,700 800 fabrication 600 900 total 2,300 1,700 sweeten company had no underapplied or overapplied manufacturing overhead costs during the month. required: for questions 1-8, assume that sweeten company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. for questions 9-15, assume that the company uses departmental predetermined overhead rates with machine-hours as the allocation base in both departments. 1. what was the company’s plantwide predetermined overhead rate? (round your answer to 2 decimal places.) next

What is the relationship between marginal external cost, marginal social cost, and marginal private cost? a. marginal social cost equals marginal private cost plus marginal external cost. b. marginal private cost plus marginal social cost equals marginal external cost. c. marginal social cost plus marginal external cost equals marginal private cost. d. marginal external cost equals marginal private cost minus marginal social cost. marginal external cost a. is expressed in dollars, so it is not an opportunity cost b. is an opportunity cost borne by someone other than the producer c. is equal to two times the marginal private cost d. is a convenient economics concept that is not real

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