Apple company collected information about consumer satisfaction and product quality perception (macbook) and age and gender of 30 customers. apple is asking you to use your expertise and analyze the excel dataset provided by spss or jamovi to answer the following question.
how does the demographics (age and gender) of this data look like? provide the information about the mean, max, min, sd, and normal distribution histogram.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

Royal motor corp. generates a major portion of its revenues by manufacturing luxury sports cars. however, the company also derives an insignificant percent of its annual revenues by selling its sports merchandise that includes apparel, shoes, and other accessories under the same brand name. which of the following terms best describes royal motor corp.? a. aconglomerate b. a subsidiary c. adominant-businessfirm d. a single-business firm