Suppose your newspaper is trying to decide between two competing desktop publishing software packages: Macro Publish and Turbo Publish. You estimate that if you purchase x copies of Macro Publish and y copies of Turbo Publish, your company's daily productivity will be U(x, y) = 8x0.6y0.4 + x, where U(x, y) is measured in pages per day (U is called a utility function). If  x = y = 10,  calculate the effect of increasing x by 1 unit. (Round your answers to two decimal places.)  pages per day Interpret the result. This means that, if your company now has  copies of Macro Publish and  copies of Turbo Publish, then the purchase of one additional copy of Macro Publish will result in a productivity increase of approximately  pages per day.

A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student.  (a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students. (b) The budget projected 500 students at each center. Calculate the total cost at each center.(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?

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As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): X 1= average high school grade in mathematics (HSM) X 2 = average high school grade in science (HSS) X 3 = average high school grade in English (HSE) X 4 = SAT mathematics score (SATM) x 5 = SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS F VALUE PROB>F MODEL 28.64 5.73 11.69 0001 ERROR 218 106 82 0.49 TOTAL 223 135.46 ROOT MSE DEP MEAN 0.700 R-SQUARE 0.211 4.635 ADJ R-SQ 0.193 PARAMETER STANDARD T FOR O VARIABLE ESTIMATE ERROR PARAMETER -0 PROB> ITI INTERCEPT 2.327 0.039 5.817 0.0001 0.0003 XI HSM) X2 (HSS) X3 (HSE) X4 (SATM) X5 (SATV) 0.146 0.037 3.718 a.036 0.038 0.950 0.3432…

Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t