Burger office equipment produces two types of desks, standard and deluxe. deluxe desks have oak tops and more-expensive hardware and require additional time for finishing and polishing. standard desks require 80 board feet of pine and 10 hours of labor, whereas deluxe desks require 60 board feet of pine, 18 square feet of oak, and 16 hours of labor. for the next week, the company has 5,000 board feet of pine, 750 board feet of oak, and 400 hours of labor available. standard desks net a profit of $150, and deluxe desks net a profit of $320. all desks can be sold to national chains such as staples or office depot.

a. identify the decision variables, objective function, and constraints in simple verbal statements.
b. mathematically formulate a linear optimization model.
c. graph the constraints and identify the feasible region. then identify each of the corner points and show how increasing the objective function value identifies the optimal solution.

With q7 assume the sweet company uses a plantwide predetermined overhead rate with machine-hours as the allocation base.and for q 10,11,13,and 14,assume that the company use department predetermined overhead rates with machine-hours as the allocation bade in both departements.7. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answers to nearest whole dollar.)total price for the job for job p -job q selling price per unit for job p q . how much manufacturing overhead was applied from the molding department to job p and how much was applied to job q? (do not round intermediate calculations.) job p job q manufacturing overhead applied for job p for job q . how much manufacturing overhead was applied from the fabrication department to job p and how much was applied to job q? (do not round intermediate calculations.)job p job q manufacturing overhead applied for job p for job q . if job q included 30 units, what was its unit product cost? (do not round intermediate calculations. round your final answer to nearest whole dollar.)14. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answer to nearest whole dollar.)total price for the job p for job q selling price per unit for job p for job q