minimize costs, value, revenues, math homework help

User Generated

onzov012345

Mathematics

Description

answer all the questions in the document below.

6,7,13,14


show work please don't just put the answer

Unformatted Attachment Preview

13. Management Angela's Pizza is open from noon to midnight each day. Employees work 8-hour shifts from noon to 8 P.M. or 4 P.M. to midnight. The store manager estimates that she needs at least 5 employees from noon to 4 P.M., at least 14 employees from 4 P.M. to 8 P.M.,and 6 employees from 8 P.M. to midnight. Employees are paid $5.50 per hour for hours worked between noon and 4 P. M. The hourly pay between 4 P.M. and midnight is $7.50. a Write inequalities to represent the number of day-shift workers, the number of night-shift workers, and the total number of workers needed. b. Graph the system of inequalities. c. Write a function to represent the daily cost of payroll. d. Find the number of day-shift workers and night-shift workers that should be scheduled to minimize the cost. e. What is the minimal cost? Solve each problem, if possible. If not possible, state whether the problem is infeasible, has alternate optimal solutions, or is unbounded. 14. Agriculture the county officials in Chang Qing County, China used linear programming to aid the farmers in their choices of crops and other forms of agricultural production. This led to a 12% increase in crop profits, a 54% increase in animal husbandry profits, while improving the region's ecology, Suppose an American farmer has 180 acres on which to grow corn and soybeans. He is planting at least 40 acres of corn and 20 acres of soybeans. Based on his calculations, he can earn $150 per acre of corn and $250 per acre of soybeans. a. If the farmer plants at least 2 acres of corn for every acre of soybeans, how many acres of each should he plant to earn the greatest profit? b. What is the farmer's maximum profit? Solve each problem, if possible. If not possible, state whether the problem is infeasible, has alternate optimal solutions, or is unbounded. 6. Business The manager of a gift store is printing brochures and fliers to advertise sale items. Each brochure costs 8c to print, and each flier costs 4c to print. A brochure requires 3 pages, and a flier requires 2 pages. The manager does not want to use more than 600 pages, and she needs at least 50 brochures and 150 fliers. How many of each should she print to minimize the cost? 7. Manufacturing Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which sells for $350. Both models use the same frame, but the painting and assembly time required for the Explorer is 2 hours, while the time is 3 hours for the Grande Expedition. There are 375 frames and 450 hours of labor available for production. How many of each model should be produced to maximize revenue?
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hi! Here's the solutions, let me know if something is not clear :)
Hi! Here's the solutions, let me know if something is not clear :)

Es. 6
Data:
Brochures (x): cost = 8c, pages = 3
Flier (y): cost =4c, pages = 2
Bonds: Max 600 pages, Min 50 brochures, Min 150 fliers.
Objective: MIN cost (8x+4y)
Problem:
min(8x + 4y)

(1)

subject to 3x + 2y ≤ 600

(2)

x ≥ 50

(3)

y ≥ 150.

(4)

In order to minimize the cost she...


Anonymous
Really great stuff, couldn't ask for more.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags