In Macroland, autonomous consumption equals 100, the marginal propensity to consume equals 0.75, net taxes are fixed at 40, planned investment is fixed at 50, government purchases are fixed at 150, and net exports are fixed at 20. Short-run equilibrium output in this economy equals:

A.1,000.
B.1,160.
C.1,280.
D.1,440.

Larissa has also provided the following information. during the year, the company raised $36 million in new long-term debt and retired $20.52 million in long-term debt. the company also sold $22 million in new stock and repurchased $32.4 million. the company purchased $54 million in fixed assets, and sold $6,107,400 in fixed assets. larissa has asked dan to prepare the financial statement of cash flows and the accounting statement of cash flows. she has also asked you to answer the following questions: 1. how would you describe east coast yachts' cash flows? 2. which cash flows statement more accurately describes the cash flows at the company? 3. in light of your previous answers, comment on larissa's expansion plans.

Xie company identified the following activities, costs, and activity drivers for 2017. the company manufactures two types of go-karts: deluxe and basic. activity expected costs expected activity handling materials $ 625,000 100,000 parts inspecting product 900,000 1,500 batches processing purchase orders 105,000 700 orders paying suppliers 175,000 500 invoices insuring the factory 300,000 40,000 square feet designing packaging 75,000 2 models required: 1. compute a single plantwide overhead rate, assuming that the company assigns overhead based on 125,000 budgeted direct labor hours. 2. in january 2017, the deluxe model required 2,500 direct labor hours and the basic model required 6,000 direct labor hours. assign overhead costs to each model using the single plantwide overhead rate.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.