The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.
a. What is the likelihood the sample mean is at least $25.00?
b. What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
c. Within what limits will 90 percent of the sample means occur?

Alandlord rented an art studio to an artist. under the terms of the signed, written, two-year lease, the artist agreed to pay the landlord $1,000 per month and to assume responsibility for all necessary repairs. after the first year of the lease, the artist assigned the balance of his lease to a sculptor. the landlord approved the sculptor as a tenant and accepted two rent payments from her, and then the landlord sold the building to an investor. the sculptor had made two payments to the investor when an electrical fire broke out in the studio, injuring the sculptor. the fire was caused by faulty wiring. the landlord was aware that there was a dangerous wiring problem when he leased the property to the artist. but when the landlord discovered how costly repairs would be, he decided it would be more profitable to sell the property than to repair it. the problem was not easily discoverable by anyone other than an expert electrician, and the landlord did not tell the artist, the sculptor, or the investor about the problem. the sculptor sues to recover damages for her injuries. from whom can the sculptor recover?

Apharmaceutical packaging company (ppc) has decided to reorganize its processes into cells. the company has four different production operations, each requiring a unique piece of equipment. the names and functions of the four pieces of equipment are sort, count, place, and package. the company packages five different families of products (a, b, c, d, and e). the tables below indicate the demand (total units/day by product family), required operations, and operation cycle times for each product family. assume that any individual piece of equipment is available to operate 16 hours/day, but 2 hours (in total) are lost each day on each piece of equipment due to breaks and meetings when operators are not available to operate the equipment. how many minutes/day are available for production

Miller mfg. is analyzing a proposed project. the company expects to sell 14,300 units, plus or minus 3 percent. the expected variable cost per unit is $15 and the expected fixed cost is $35,000. the fixed and variable cost estimates are considered accurate within a plus or minus 3 percent range. the depreciation expense is $32,000. the tax rate is 34 percent. the sale price is estimated at $19 a unit, give or take 3 percent. what is the net income under the worst case scenario?